A160833 G.f.: (1+62*x+569*x^2+1086*x^3+521*x^4+56*x^5+x^6)/(1-x)^7.

1, 69, 1031, 6889, 29473, 95389, 255263, 595281, 1251025, 2423605, 4398087, 7564217, 12439441, 19694221, 30179647, 44957345, 65331681, 92884261, 129510727, 177459849, 239374913, 318337405, 417912991, 542199793, 695878961

Offset: 0

Author

N. J. A. Sloane, Nov 18 2009

Keywords

• nonn

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)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90: n in [0..30]]; // Vincenzo Librandi, Sep 18 2011

Mathematica

Table[1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90, {n,0,30}] (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1}, {1, 69, 1031, 6889, 29473, 95389, 255263}, 30] (* G. C. Greubel, Apr 28 2018 *)

PARI

for(n=0, 30, print1(1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n +444)/90, ", ")) \\ G. C. Greubel, Apr 28 2018

Formula

a(n) = 1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90. - R. J. Mathar, Sep 17 2011