A011853 a(n) = floor( binomial(n,7)/7 ).

0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 17, 47, 113, 245, 490, 919, 1634, 2778, 4546, 7198, 11074, 16611, 24363, 35022, 49443, 68671, 93971, 126861, 169148, 222968, 290828, 375653, 480836, 610292, 768516, 960645, 1192525, 1470781, 1802893, 2197276, 2663365

Offset

0,10

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28, 56,-70,56,-28,7,7, -28,56,-70,56,-28,7,7,-28,56, -70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28,56, -70,56,-28,8,-1).

Mathematica

Floor[Binomial[Range[0, 40], 7]/7] (* Harvey P. Dale, Oct 08 2012 *)

Prog

(SageMath) [floor(binomial(n, 7)/7) for n in range(0, 36)] # Zerinvary Lajos, Dec 01 2009
(PARI) a(n)=binomial(n, 7)\7 \\ Charles R Greathouse IV, Sep 28 2015

Crossrefs

Partial sums of A011797.

A column of triangle A011857.

Sequence in context: A339805 A338972 A332358 * A215053 A213767 A320854

Adjacent sequences: A011850 A011851 A011852 * A011854 A011855 A011856

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Andrew Howroyd, Oct 22 2025

Status

approved