A011844 a(n) = floor(C(n,7)/8).

0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 15, 41, 99, 214, 429, 804, 1430, 2431, 3978, 6298, 9690, 14535, 21318, 30644, 43263, 60087, 82225, 111003, 148005, 195097, 254475, 328696, 420732, 534006, 672452, 840565, 1043460

Offset

0,10

Links

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -7, 21, -35, 35, -21, 7, -1).

Formula

a(n) = floor(binomial(n+1,8)/(n+1)). [Gary Detlefs, Nov 23 2011]

Mathematica

Floor[Binomial[Range[0, 40], 7]/8] (* Harvey P. Dale, Apr 23 2011 *)

Crossrefs

A column of triangle A011847.

Sequence in context: A074033 A093920 A342352 * A075468 A100503 A085829

Adjacent sequences: A011841 A011842 A011843 * A011845 A011846 A011847

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved