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 A092166 Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (2,1) entry of M^n. 3
 5, 25, 155, 925, 5555, 33325, 199955, 1199725, 7198355, 43190125, 259140755, 1554844525, 9329067155, 55974402925, 335846417555, 2015078505325, 12090471031955, 72542826191725, 435256957150355, 2611541742902125 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..20. Index entries for linear recurrences with constant coefficients, signature (5,6). FORMULA a(n) = (5*6^n - 5*(-1)^n)/7. a(n) = A092167(n) +(-1)^n. From Colin Barker, Nov 08 2012: (Start) a(n) = 5*a(n-1) + 6*a(n-2). G.f.: -5*x/((x+1)*(6*x-1)). (End) MATHEMATICA Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 1]], {n, 20}] (* Robert G. Wilson v, Apr 22 2004 *) CROSSREFS Cf. A092164, A092165, A092167. Sequence in context: A200031 A216689 A297589 * A204209 A121112 A090014 Adjacent sequences: A092163 A092164 A092165 * A092167 A092168 A092169 KEYWORD nonn,easy AUTHOR Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004 EXTENSIONS Edited by Robert G. Wilson v, Apr 22 2004 STATUS approved

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Last modified April 22 00:17 EDT 2024. Contains 371886 sequences. (Running on oeis4.)