A026308 Expansion of 1/((1-2*x)*(1-5*x)*(1-11*x)*(1-12*x)).

1, 30, 597, 9974, 151629, 2176086, 30060949, 404288598, 5331243357, 69255757142, 889174566501, 11309336465622, 142744102829485, 1790283986115798, 22334320279686453, 277371931128111446

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (30,-303,1154,-1320).

Formula

a(n) = -4*2^n/135 +125*5^n/126 -1331*11^n/54 +864*12^n/35. - R. J. Mathar, Jun 23 2013

E.g.f.: exp(2*x)*(46656*exp(10*x) - 46585*exp(9*x) + 1875*exp(3*x) - 56)/1890. - Stefano Spezia, Dec 20 2025

Crossrefs

Sequence in context: A004347 A028052 A024445 * A081140 A131206 A020982

Adjacent sequences: A026305 A026306 A026307 * A026309 A026310 A026311

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved