A115133 Partial sums of A064061.

429, 1859, 5291, 12363, 25623, 48879, 87639, 149655, 245586, 389796, 601304, 904904, 1332474, 1924494, 2731794, 3817554, 5259579, 7152873, 9612537, 12777017, 16811729, 21913089, 28312977, 36283665, 46143240, 58261554

Offset: 0

Author

Wolfdieter Lang, Jan 13 2006

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

Crossrefs

Cf. A114426 (sixth column of A115127).

Programs

Mathematica

Accumulate[Table[Binomial[n,7]-Binomial[n,5],{n,13,50}]] (* or *) LinearRecurrence[ {9,-36,84,-126,126,-84,36,-9,1},{429,1859,5291,12363,25623,48879,87639,149655,245586},40] (* Harvey P. Dale, Sep 03 2015 *)

Formula

G.f.:(429-2002*x+4004*x^2-4368*x^3+2730*x^4-924*x^5+132*x^6)/(1-x)^9.

a(n)=A115127(n+7, 7), n>=1, a(0):=C(7)=429, with C(n):=A000108(n) (Catalan).