A145129 1 + (9960 + (6804 + (2464 + (735 + (175 + (21 + n)*n)*n)*n)*n)*n)*n/5040.

1, 5, 18, 56, 155, 386, 876, 1836, 3597, 6655, 11726, 19812, 32279, 50948, 78200, 117096, 171513, 246297, 347434, 482240, 659571, 890054, 1186340, 1563380, 2038725, 2632851, 3369510, 4276108, 5384111, 6729480, 8353136, 10301456, 12626801, 15388077, 18651330

Offset: 0

Author

Alois P. Heinz, Oct 03 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

8th row of A145153. See row 8 of A145140/A145141 for rational coefficients and A145142 for 5040 * coefficients of polynomial.

Programs

Maple

a := n-> 1+ (9960+ (6804+ (2464+ (735+ (175+ (21+ n) *n) *n) *n) *n) *n) *n/5040: seq(a(n), n=0..40);

Mathematica

CoefficientList[Series[(x^4 - 4 x^3 + 6 x^2 - 3 x + 1) / (1 - x)^8, {x, 0, 50}], x] (* Vincenzo Librandi, Jun 06 2013 *)

Formula

G.f.: (x^4-4*x^3+6*x^2-3*x+1) / (1-x)^8.