A011855 a(n) = floor(binomial(n,9)/9).
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 24, 79, 222, 556, 1271, 2701, 5402, 10264, 18662, 32658, 55268, 90798, 145278, 226997, 347172, 520758, 767433, 1112778, 1589683, 2240008, 3116533, 4285233, 5827917, 7845273
Offset: 0
Keywords
Links
- Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 10, -1).
Crossrefs
A column of triangle A011857.
Programs
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Mathematica
Floor[Binomial[Range[0,80],9]/9] (* Harvey P. Dale, Aug 30 2016 *)
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PARI
a(n) = binomial(n,9)\9; \\ Michel Marcus, Jan 29 2018
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Sage
[floor(binomial(n,9)/9) for n in range(0,36)] # Zerinvary Lajos, Dec 01 2009