A132395 a(n) = (11^(n+2) + 12^(2*n+1))/133.

1, 23, 1981, 270623, 38808661, 5586675623, 804461802541, 115842285207023, 16681286711863621, 2402105260570936823, 345903157236903231901, 49810054638975637017023, 7172647867977969018307381

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..460

Index entries for linear recurrences with constant coefficients, signature (155,-1584).

Formula

G.f.: (-132*x + 1)/( (144*x-1)*(11*x-1) ). - Alexander R. Povolotsky, Apr 26 2008

{-1584 a(n) + 155 a(n + 1) - a(n + 2), a(0) = 1, a(1) = 23}. - Robert Israel, May 14 2008

Mathematica

Table[(11^(n + 2) + 12^(2*n + 1))/133, {n, 0, 15}] (* Stefan Steinerberger, Nov 13 2007 *)

Prog

(PARI) a(n)=(11^(n+2)+12^(2*n+1))/133

Crossrefs

Sequence in context: A319508 A331340 A269122 * A064016 A263462 A138735

Adjacent sequences: A132392 A132393 A132394 * A132396 A132397 A132398

Keyword

nonn,easy

Author

Alexander R. Povolotsky, Nov 11 2007

Status

approved