Assertion: generating function | /r/HasProperty | / 1 − z
Facets:
Source sentences:
text: First, we observe that the binomial coefficient generating function, 1 / ( 1 − z ) 5 {\displaystyle 1/(1-z)^{5}} , satisfies that each of its coefficients are divisible by 5 {\displaystyle 5} with the exception of those which correspond to the powers of 1 , z 5 , z 10 , … {\displaystyle 1,z^{5},z^{10},\ldots } , all of which otherwise have a remainder of 1 {\displaystyle 1} modulo 5 {\displaystyle 5} .