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

1,1

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).

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

Mathematica

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

Prog

(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

Crossrefs

Sequence in context: A097297 A362336 A349857 * A338708 A129552 A293800

Adjacent sequences: A047667 A047668 A047669 * A047671 A047672 A047673

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 24 2014

Status

approved