A011846 a(n) = floor( binomial(n,9)/10 ).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 22, 71, 200, 500, 1144, 2431, 4862, 9237, 16796, 29393, 49742, 81719, 130750, 204297, 312455, 468682, 690690, 1001500, 1430715, 2016007, 2804880, 3856710, 5245125, 7060746

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, order 259.

Crossrefs

A column of triangle A011847.

Programs

Magma

[Floor(Binomial(n,9)/10): n in [0..50]]; // Vincenzo Librandi, Apr 11 2017

Maple

A011846:=n->floor(binomial(n,9)/10): seq(A011846(n), n=0..60); # Wesley Ivan Hurt, Apr 10 2017

Mathematica

Table[Floor[Binomial[n, 9]/10], {n, 0, 50}] (* Vincenzo Librandi, Apr 11 2017 *)

Formula

a(n) = floor( binomial(n+1,10)/(n+1)). [Gary Detlefs, Nov 23 2011]