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A092167
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Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (2,2) entry of M^n.
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3
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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; internal format)
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OFFSET
| 1,1
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FORMULA
| a(n) = (5*6^n + 2*(-1)^n)/7.
A092166 -(-1)^n.
a(n)=5*a(n-1)+6*a(n-2). G.f.: 2*x*(2+3*x)/((1+x)*(1-6*x)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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MATHEMATICA
| Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 2]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
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CROSSREFS
| Cf. A092164, A092165, A092166.
Sequence in context: A144068 A204062 A121767 * A124544 A145840 A108082
Adjacent sequences: A092164 A092165 A092166 * A092168 A092169 A092170
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KEYWORD
| nonn
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AUTHOR
| Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 22 2004
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