page_title: Hockey-stick identity
hierarchical_section_title: Hockey-stick identity
context_page_description: In combinatorial mathematics, the identity
  is known as the hockey-stick or Christmas stocking identity. That name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects.
context_section_description: In combinatorial mathematics, the identity
  is known as the hockey-stick or Christmas stocking identity. That name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects.
caption: Pascal's triangle, rows 0 through 7. The hockey stick identity confirms, for example: for n=6, r=2: 1+3+6+10+15=35.
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