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A165259 Sum of odd powers of 4 and 9 divided by 13 1
1, 61, 4621, 369181, 29821741, 2414250301, 195533302861, 15837861987421, 1282861452271981, 103911691734684541, 8416845656119913101, 681764476155480405661, 55222922216750191970221 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..12.

Index entries for linear recurrences with constant coefficients, signature (97, -1296).

FORMULA

G.f.: (1-36*x)/((1-16*x)*(1-81*x))

a(0)=1, a(1)=61, a(n)=97*a(n-1)-1296*a(n-2). - Harvey P. Dale, Jun 23 2013

MATHEMATICA

Table[(4^n+9^n)/13, {n, 1, 31, 2}] (* or *) LinearRecurrence[{97, -1296}, {1, 61}, 20] (* Harvey P. Dale, Jun 23 2013 *)

PROG

(PARI) a(n)=(4^(2*n+1)+9^(2*n+1))/13

CROSSREFS

Cf. A007689, A082101, A096951.

Sequence in context: A096544 A242230 A201031 * A181636 A167736 A015288

Adjacent sequences:  A165256 A165257 A165258 * A165260 A165261 A165262

KEYWORD

nonn

AUTHOR

Jaume Oliver Lafont, Sep 11 2009

STATUS

approved

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Last modified March 26 10:18 EDT 2019. Contains 321491 sequences. (Running on oeis4.)