A115205 a(n) = binomial(n, 9) + 1.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 11, 56, 221, 716, 2003, 5006, 11441, 24311, 48621, 92379, 167961, 293931, 497421, 817191, 1307505, 2042976, 3124551, 4686826, 6906901, 10015006, 14307151, 20160076, 28048801, 38567101, 52451257, 70607461, 94143281, 124403621

Offset: 0

Author

Roger L. Bagula, Mar 03 2006

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A035927.

Programs

Magma

[Binomial(n, 9)+1: n in [0..50]]; // Vincenzo Librandi, Feb 05 2016

Maple

seq(binomial(n,9)+1, n=0..26); # Zerinvary Lajos, Jan 13 2007

Mathematica

Table[1 + Binomial[n,9], {n, 0, 20}] (* G. C. Greubel, Feb 05 2016 *)

PARI

a(n) = binomial(n, 9) + 1; \\ Altug Alkan, Feb 05 2016

Formula

G.f.: ((3*x^2-3*x+1)*(3*x^6-9*x^5+18*x^4-21*x^3+15*x^2-6*x+1))/(x-1)^10. [Maksym Voznyy (voznyy(AT)mail.ru), Jul 27 2009]

a(n) = (1/9!)*(n+1)*(n^8 - 37*n^7 + 583*n^6 - 5119*n^5 + 27568*n^4 - 94852*n^3 + 212976*n^2 - 322560*n + 9!) = binomial(n,9)+1. - G. C. Greubel, Feb 05 2016