A004058 - OEIS

A004058

Expansion of (1-x)/( (1+x)*(1-2*x)*(1-3*x)*(1-4*x)*(1-5*x)).

1, 12, 99, 686, 4305, 25368, 143263, 785202, 4211229, 22226204, 115899147, 598832598, 3072304873, 15676477920, 79649367351, 403336249274, 2037103422837, 10267399442916, 51665107485475

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OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (13,-57,83,34,-120).

FORMULA

a(n) = (1/180)*(2500*5^n - 3456*4^n + 1215*3^n - 80*2^n + (-1)^n).

PROG

(Magma) [(1/180) *(2500*5^n - 3456*4^n + 1215*3^n - 80*2^n + (-1)^n): n in [0..30]]; // Vincenzo Librandi, Oct 08 2011

CROSSREFS

First differences of A099111.

Sequence in context: A282285 A090230 A133652 * A052178 A322721 A367607

Adjacent sequences: A004055 A004056 A004057 * A004059 A004060 A004061

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved