A025985 Expansion of 1/((1-2x)(1-4x)(1-11x)(1-12x)).

1, 29, 563, 9241, 138723, 1972833, 27071851, 362271257, 4758885395, 61635081937, 789436108539, 10021208067273, 126282252770467, 1581692483050241, 19709670281308427, 244539010854912889

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -278, 976, -1056).

Formula

a(n) = -2*2^n/45 +4*4^n/7 -1331*11^n/63 +108*12^n/5. R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=29, a(2)=563, a(3)=9241, a(n)=29*a(n-1)-278*a(n-2)+ 976*a(n-3)- 1056*a(n-4). - Harvey P. Dale, Nov 25 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -278, 976, -1056}, {1, 29, 563, 9241}, 30] (* Harvey P. Dale, Nov 25 2013 *)

Crossrefs

Sequence in context: A024443 A024435 A020979 * A020978 A023948 A020974

Adjacent sequences: A025982 A025983 A025984 * A025986 A025987 A025988

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved