A011852 - OEIS

A011852

a(n) = floor(binomial(n,6)/6).

0, 0, 0, 0, 0, 0, 0, 1, 4, 14, 35, 77, 154, 286, 500, 834, 1334, 2062, 3094, 4522, 6460, 9044, 12435, 16824, 22432, 29516, 38371, 49335, 62790, 79170, 98962, 122713, 151032, 184594, 224150, 270526, 324632, 387464, 460113, 543770, 639730, 749398, 874297

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OFFSET

0,9

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -22, 41, -50, 41, -22, 7, 0, -6, 15, -19, 9, 9, -19, 15, -6, 0, 6, -15, 19, -9, -9, 19, -16, 13, -22, 35, -35, 22, -13, 16, -19, 9, 9, -19, 15, -6, 0, 6, -15, 19, -9, -9, 19, -15, 6, 0, -7, 22, -41, 50, -41, 22, -7, 1).

PROG

(SageMath) [floor(binomial(n, 6)/6) for n in range(0, 37)] # Zerinvary Lajos, Dec 01 2009

(PARI) a(n) = binomial(n, 6)\6; \\ Michel Marcus, Jan 28 2018

CROSSREFS

A column of triangle A011857.

Sequence in context: A362342 A197275 A376319 * A307260 A288678 A295180

Adjacent sequences: A011849 A011850 A011851 * A011853 A011854 A011855

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Andrew Howroyd, Oct 22 2025

STATUS

approved