A160769 G.f.: (21+101*x+97*x^2+22*x^3+x^4)/(1-x)^5.

21, 206, 917, 2757, 6571, 13446, 24711, 41937, 66937, 101766, 148721, 210341, 289407, 388942, 512211, 662721, 844221, 1060702, 1316397, 1615781, 1963571, 2364726, 2824447, 3348177, 3941601, 4610646, 5361481, 6200517, 7134407

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

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Programs

Magma

[(121*n^4 +480*n^3 +869*n^2 +750*n +252)/12: n in [0..30]]; // G. C. Greubel, Apr 26 2018

Mathematica

Table[(121*n^4 +480*n^3 +869*n^2 +750*n +252)/12, {n,0,30}] (* G. C. Greubel, Apr 26 2018 *)

PARI

for(n=0,30, print1((121*n^4 +480*n^3 +869*n^2 +750*n +252)/12, ", ")) \\ G. C. Greubel, Apr 26 2018

Formula

a(n) = 121*n^4/12 +40*n^3+869*n^2/12 +125*n/2 +21. - R. J. Mathar, Sep 11 2011