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

0,12

Links

Table of n, a(n) for n=0..35.

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).

Mathematica

Floor[Binomial[Range[0, 80], 9]/9] (* Harvey P. Dale, Aug 30 2016 *)

Prog

(Sage) [floor(binomial(n, 9)/9) for n in range(0, 36)] # Zerinvary Lajos, Dec 01 2009
(PARI) a(n) = binomial(n, 9)\9; \\ Michel Marcus, Jan 29 2018

Crossrefs

A column of triangle A011857.

Sequence in context: A058809 A140088 A359133 * A173031 A350413 A361474

Adjacent sequences: A011852 A011853 A011854 * A011856 A011857 A011858

Keyword

nonn

Author

N. J. A. Sloane

Status

approved