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 A165259 Sum of odd powers of 4 and 9 divided by 13. 2
 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 G. C. Greubel, Table of n, a(n) for n = 0..520 Index entries for linear recurrences with constant coefficients, signature (97,-1296). FORMULA G.f.: (1-36*x)/((1-16*x)*(1-81*x)) a(n) = 97*a(n-1) - 1296*a(n-2). - Harvey P. Dale, Jun 23 2013 E.g.f.: (1/13)*(4*exp(16*x) + 9*exp(81*x)). - G. C. Greubel, Mar 11 2023 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 (Magma) [(4^(2*n+1)+9^(2*n+1))/13: n in [0..30]]; // G. C. Greubel, Mar 11 2023 (SageMath) [(4^(2*n+1)+9^(2*n+1))/13 for n in range(31)] # G. C. Greubel, Mar 11 2023 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 June 14 07:34 EDT 2024. Contains 373393 sequences. (Running on oeis4.)