A145128 a(n) = 1 + (1200 + (634 + (225 + (85 + (15 + n)*n)*n)*n)*n)*n/720.

1, 4, 13, 38, 99, 231, 490, 960, 1761, 3058, 5071, 8086, 12467, 18669, 27252, 38896, 54417, 74784, 101137, 134806, 177331, 230483, 296286, 377040, 475345, 594126, 736659, 906598, 1108003, 1345369, 1623656, 1948320, 2325345, 2761276, 3263253, 3839046, 4497091

Offset: 0

Author

Alois P. Heinz, Oct 03 2008

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..1000

Crossrefs

7th row of A145153. See row 7 of A145140/A145141 for rational coefficients and A145142 for 720 * coefficients of polynomial.

Programs

Maple

a := n-> 1+ (1200+ (634+ (225+ (85+ (15+ n) *n) *n) *n) *n) *n/720: seq (a(n), n=0..40);

Formula

G.f.: (x^4-4*x^3+6*x^2-3*x+1) / (1-x)^7.