login
A229735
151*n^7/315+2*n^5/9+7*n^3/45+n/7.
1
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
0,3
LINKS
M. B. Nathanson, Growth polynomials for additive quadruples and (h, k)-tuples, arXiv preprint arXiv:1305.7172, 2013. See Psi_4(n).
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
MATHEMATICA
Table[151 n^7/315 + 2 n^5/9 + 7 n^3/45 + n/7, {n, 0, 40}] (* Vincenzo Librandi, Oct 06 2013 *)
PROG
(Magma) [151*n^7/315+2*n^5/9+7*n^3/45+n/7: n in [0..30]]; // Vincenzo Librandi, Oct 06 2013
CROSSREFS
Cf. A071816.
Sequence in context: A281649 A189413 A362054 * A254472 A361610 A353896
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Oct 01 2013
STATUS
approved