A160853 Expansion of (1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5+x^6)/(1-x)^7.

1, 154, 2287, 14735, 61227, 193897, 510420, 1175273, 2445121, 4698328, 8468593, 14482711, 23702459, 37370607, 57061054, 84733089, 122789777, 174140470, 242267443, 331296655, 446072635, 592237493, 776314056, 1005793129

Offset: 0

Author

N. J. A. Sloane, Nov 18 2009

Keywords

• nonn
• easy

Comments

Source: the De Loera et al. article and the Haws website listed in A160747.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Programs

Magma

[1 +n*(n+1)*(1375*n^4+4022*n^3+6573*n^2+4582*n+1808)/240: n in [0..30]]; // Vincenzo Librandi, Sep 20 2011

Maple

seq(coeff(series((1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5+x^6)/(1-x)^7, x,n+1),x,n),n=0..25); # Muniru A Asiru, Apr 29 2018

Mathematica

LinearRecurrence[{7,-21,35,-35,21,-7,1}, {1, 154, 2287, 14735, 61227, 193897, 510420}, 40] (* G. C. Greubel, Apr 28 2018 *)

PARI

x='x+O('x^30); Vec((1+147*x+1230*x^2+1925*x^3+754*x^4+67*x^5 + x^6)/(1-x)^7) \\ G. C. Greubel, Apr 28 2018

Formula

a(n) = 1 +n*(n+1)*(1375*n^4+4022*n^3+6573*n^2+4582*n+1808)/240. - R. J. Mathar, Sep 17 2011