A011845 a(n) = floor( binomial(n,8)/9).

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 18, 55, 143, 333, 715, 1430, 2701, 4862, 8398, 13996, 22610, 35530, 54479, 81719, 120175, 173586, 246675, 345345, 476905, 650325, 876525, 1168700, 1542684, 2017356, 2615091, 3362260, 4289780, 5433721, 6835972, 8544965, 10616471

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-8,28,-56,70,-56,28,-8,1).

Crossrefs

Cf. A000031, A001037, A028723, A051168.

A column of triangle A011847.

Programs

Magma

[Binomial(n, 8) div 9: n in [0..45]]; // Vincenzo Librandi, Oct 15 2015

Mathematica

Table[Floor[Binomial[n, 8] / 9], {n, 1, 50}] (* Vincenzo Librandi, Oct 15 2015 *)

PARI

a(n) = binomial(n, 8)\9; \\ Michel Marcus, Oct 14 2015

Formula

a(n) = floor(binomial(n+1,9)/(n+1)). [Gary Detlefs, Nov 23 2011]

Extensions

Definition corrected by Pedro Antonio, Oct 14 2015

More terms from Vincenzo Librandi, Oct 15 2015