A229735 151*n^7/315+2*n^5/9+7*n^3/45+n/7.

0, 1, 70, 1107, 8092, 38165, 135954, 398567, 1012664, 2306025, 4816030, 9377467, 17232084, 30162301, 50651498, 82073295, 128912240, 197018321, 293897718, 429042211, 614299660, 864287973, 1196854978, 1633586615, 2200365864, 2927984825, 3852812366, 5017519755, 6471866692, 8273550157, 10489118490

Offset: 0

Author

N. J. A. Sloane, Oct 01 2013

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• M. B. Nathanson, Growth polynomials for additive quadruples and (h, k)-tuples, arXiv preprint arXiv:1305.7172, 2013. See Psi_4(n).
• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A071816.

Programs

Magma

[151*n^7/315+2*n^5/9+7*n^3/45+n/7: n in [0..30]]; // Vincenzo Librandi, Oct 06 2013

Mathematica

Table[151 n^7/315 + 2 n^5/9 + 7 n^3/45 + n/7, {n, 0, 40}] (* Vincenzo Librandi, Oct 06 2013 *)

Formula

G.f.: x*(x^6+62*x^5+575*x^4+1140*x^3+575*x^2+62*x+1) / (x-1)^8. - Colin Barker, Oct 06 2013