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 A092167 Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (2,2) entry of M^n. 3
 4, 26, 154, 926, 5554, 33326, 199954, 1199726, 7198354, 43190126, 259140754, 1554844526, 9329067154, 55974402926, 335846417554, 2015078505326, 12090471031954, 72542826191726, 435256957150354, 2611541742902126 (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 + 2*(-1)^n)/7. A092166 -(-1)^n. From R. J. Mathar, Apr 20 2009: (Start) a(n) = 5*a(n-1) + 6*a(n-2). G.f.: 2*x*(2+3*x)/((1+x)*(1-6*x)). (End) MATHEMATICA Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 2]], {n, 20}] (* Robert G. Wilson v, Apr 22 2004 *) CROSSREFS Cf. A092164, A092165, A092166. Sequence in context: A144068 A204062 A121767 * A124544 A145840 A302335 Adjacent sequences: A092164 A092165 A092166 * A092168 A092169 A092170 KEYWORD nonn 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 17 15:20 EDT 2024. Contains 371764 sequences. (Running on oeis4.)