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

0,1

Links

Table of n, a(n) for n=0..25.

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

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).

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 *)

Crossrefs

Cf. A114426 (sixth column of A115127).

Sequence in context: A116870 A064061 A244104 * A090200 A033279 A145056

Adjacent sequences: A115130 A115131 A115132 * A115134 A115135 A115136

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 13 2006

Status

approved