A059600 Expansion of (1+6*x+x^2)/(1-x)^8.

1, 14, 85, 344, 1086, 2892, 6798, 14520, 28743, 53482, 94523, 159952, 260780, 411672, 631788, 945744, 1384701, 1987590, 2802481, 3888104, 5315530, 7170020, 9553050, 12584520, 16405155, 21179106, 27096759

Offset

0,2

Comments

a(n)= A038164(2*n).

Links

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (8, -28, 56, -70, 56, -28, 8, -1).

Formula

a(n)= binomial(n+5, 5)*(4*n^2+24*n+21)/21.

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

Crossrefs

Sequence in context: A025607 A272103 A244865 * A206621 A213121 A125324

Adjacent sequences: A059597 A059598 A059599 * A059601 A059602 A059603

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 02 2001.

Status

approved