A047670 Row 6 of array in A047666.

6, 37, 158, 529, 1486, 3653, 8086, 16449, 31222, 55941, 95470, 156305, 246910, 378085, 563366, 819457, 1166694, 1629541, 2237118, 3023761, 4029614, 5301253, 6892342, 8864321, 11287126, 14239941, 17811982, 22103313, 27225694, 33303461, 40474438, 48890881

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Colin Barker, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Programs

Mathematica

LinearRecurrence[{7,-21,35,-35,21,-7,1},{6,37,158,529,1486,3653,8086},40] (* Harvey P. Dale, Jun 15 2018 *)

PARI

Vec(-x*(x^6-x^5+16*x^4-10*x^3+25*x^2-5*x+6)/(x-1)^7 + O(x^100)) \\ Colin Barker, Nov 24 2014

Formula

a(n) = (1/45) * (2n^6 + 50n^4 + 173 + 45).

G.f.: -x*(x^6 - x^5 + 16*x^4 - 10*x^3 + 25*x^2 - 5*x + 6) / (x-1)^7. - Colin Barker, Nov 24 2014

Extensions

More terms from Colin Barker, Nov 24 2014