Question: What song did the performer of Lennon Bermuda write for David Bowie?

full_context: Document 1: Milk and Honey (album): Milk and Honey is the sixth and final album by John Lennon and Yoko Ono released in 1984. Following the compilation "The John Lennon Collection", it is Lennon's eighth and final studio album, and the first posthumous release of new Lennon music, having been recorded in the last months of his life during and following the sessions for his 1980 album "Double Fantasy". It was assembled by Yoko Ono in association with the Geffen label.
Document 2: Murder of John Lennon: Photographer Annie Leibovitz went to the Lennons' apartment to do a photo shoot for Rolling Stone magazine. Leibovitz promised Lennon that a photo with Ono would make the front cover of the magazine, even though she initially tried to get a picture with Lennon by himself. Leibovitz said, "Nobody wanted [Ono] on the cover". Lennon insisted that both he and his wife be on the cover, and after taking the pictures, Leibovitz left their apartment at 3:30. After the photo shoot, Lennon gave what would be his last interview, to San Francisco DJ Dave Sholin, for a music show to be broadcast on the RKO Radio Network. At 5:40, Lennon and Ono, delayed by a late limousine, left their apartment to mix the song "Walking on Thin Ice" (an Ono song featuring Lennon on lead guitar) at the Record Plant Studio.
Document 3: Lennon Bermuda: Lennon Bermuda is a tribute album and book inspired by John Lennon’s visit to Bermuda in 1980, where he wrote a portion of his "Double Fantasy" album. The "Lennon Bermuda" boxed set comprises two discs by various artists with a connection to Bermuda, including Yoko Ono, covering Lennon songs. There is also a book by author Scott Neil, illustrated by artist Graham Foster, describing Lennon’s stay on the island.
Document 4: Imagine (John Lennon album): Imagine is the second studio album by John Lennon after his departure from the Beatles. Recorded and released in 1971, the album's musical arrangements are more elaborate compared to the basic, small-group arrangements of his first album, "John Lennon/Plastic Ono Band".
Document 5: Lennon Legend: The Very Best of John Lennon: Lennon Legend: The Very Best of John Lennon is the third official compilation album of John Lennon's solo career, coming after 1975's "Shaved Fish" and 1982's "The John Lennon Collection". Because neither collection spanned Lennon's releases up to and including 1984's "Milk and Honey", "Lennon Legend: The Very Best of John Lennon" – considered the definitive Lennon retrospective – was compiled to rectify the situation. It was released in the UK in 1997 through Parlophone and early 1998 in the US by EMI Records.
Document 6: I'm Afraid of Americans: "I'm Afraid of Americans" is a single by David Bowie from the 1997 album "Earthling". The song, co-written by Bowie and Brian Eno, was originally written during Bowie's studio sessions for the 1995 album "Outside" but was not released until a rough mix appeared on the soundtrack to the film "Showgirls", and was subsequently remade for "Earthling". A top 20 hit in Canada, the rework also peaked at number 66 on the "Billboard" Hot 100 and spent 16 weeks on that chart. This was the final Bowie single which charted on the Hot 100 until "Blackstar" and "Lazarus" following his death.
Document 7: I'm Losing You (John Lennon song): "I'm Losing You" is a song written by John Lennon and released on his 1980 album "Double Fantasy". It was completed in Bermuda in June 1980, after Lennon failed at an attempted telephone call to Yoko Ono. The song is also available on the 1982 compilation "The John Lennon Collection", the 1998 boxset "John Lennon Anthology", the one disc compilation "Wonsaponatime", the 2005 two disc compilation "" and in 2010 for the "Gimme Some Truth" album. The song was also featured in the 2005 musical "Lennon".
Document 8: "Heroes" (David Bowie song): ``'Heroes' ''is a song recorded by the English musician David Bowie, written by Brian Eno and Bowie. Produced by Bowie and Tony Visconti, it was recorded in July and August 1977, and released on 23 September 1977. A product of Bowie's`` Berlin'' period, the track was not a huge hit in the UK or US at the time, but has gone on to become one of Bowie's signature songs. In January 2016, following Bowie's death, the song reached a new peak of number 12 in the UK Singles Chart. ``'Heroes' ''has been cited as Bowie's second-most covered song after`` Rebel Rebel''.
Document 9: Fame (David Bowie song): ``Fame ''is a song recorded by David Bowie, initially released in 1975. Written by Bowie, Carlos Alomar and John Lennon, it was a hit in North America, becoming Bowie's first number 1 single in the Canadian Singles Chart as well as the U.S. Billboard Hot 100. The song was one of the more successful singles of the year, ranking at number 7 on the Billboard Year - End Hot 100. It was less successful in Europe, reaching number 17 in the UK Singles Chart.
Document 10: Fame (The Game): "Fame (The Game)" was the second official single from Donna Summer's 2008 studio album "Crayons". It reached #1 on the "Billboard" Hot Dance Club Play chart.
Document 11: Mr. Tambourine Man: The song has been performed and recorded by many artists, including the Byrds, Judy Collins, Melanie, Odetta, and Stevie Wonder among others. The Byrds version was released in April of 1965 as their first single on Columbia Records, reaching number 1 on both the "Billboard" Hot 100 chart and the UK Singles Chart, as well as being the title track of their debut album, "Mr. Tambourine Man." The Byrds' recording of the song was influential in popularizing the musical subgenres of folk rock and jangle pop, leading many contemporary bands to mimic its fusion of jangly guitars and intellectual lyrics in the wake of the single's success.
Document 12: I Dig Love: Leng draws parallels between "I Dig Love" and the Beatles' more free-form compositions of the late 1960s. Among these, Paul McCartney's "Why Don't We Do It in the Road?" exemplifies what Ian MacDonald termed in the 1990s the "long-gone let-it-all-hang-out era". In his book "Working Class Mystic", Gary Tillery identifies "I Dig Love" as one of two "All Things Must Pass" tracks (the other being "Wah-Wah") that could have been sung by John Lennon, whose style increasingly embraced provocative artistic statements following the start of his relationship with Yoko Ono in 1968. Leng also compares "I Dig Love" with "Love the One You're With", a "hymn to hedonism" by Stephen Stills, with whom Harrison worked on Doris Troy's eponymous album for Apple Records, in 1969–70.
Document 13: "Heroes" (David Bowie song): ``'Heroes' ''is a song recorded by the English musician David Bowie, written by Brian Eno and Bowie. Produced by Bowie and Tony Visconti, it was recorded in July and August 1977, and released on 23 September 1977. A product of Bowie's`` Berlin'' period, the track was not a huge hit in the United Kingdom or United States at the time, but has gone on to become one of Bowie's signature songs. In January 2016, following Bowie's death, the song reached a new peak of number 12 in the UK Singles Chart. ``'Heroes' ''has been cited as Bowie's second-most covered song after`` Rebel Rebel''.
Document 14: David Bowie: Dissatisfied with his stage name as Davy (and Davie) Jones, which in the mid-1960s invited confusion with Davy Jones of The Monkees, Bowie renamed himself after the 19th - century American pioneer James Bowie and the knife he had popularised. His April 1967 solo single, ``The Laughing Gnome '', using speeded - up thus high - pitched vocals, failed to chart. Released six weeks later, his album debut, David Bowie, an amalgam of pop, psychedelia, and music hall, met the same fate. It was his last release for two years.
Document 15: Grow Old with Me: ``Grow Old with Me ''is one of the final songs written by John Lennon. It was recorded by Lennon as a demo while in Bermuda in 1980, and later appeared on the posthumous album, Milk and Honey in 1984. It was also considered as a possible reunion single by his former bandmates during the making of The Beatles Anthology.
ground_truth: ``Fame ''
sub_queries: Lennon Bermuda >> performer Answer: John Lennon
what song did John Lennon write for david bowie Answer: ``Fame ''