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Search: id:A092167
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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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+0
4
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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; listen)
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OFFSET
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1,1
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FORMULA
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a(n) = (5*6^n + 2*(-1)^n)/7.
A092166 -(-1)^n.
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MATHEMATICA
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Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 2]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
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CROSSREFS
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Cf. A092164, A092165, A092166.
Sequence in context: A053906 A100236 A121767 this_sequence A124544 A108082 A116429
Adjacent sequences: A092164 A092165 A092166 this_sequence A092168 A092169 A092170
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KEYWORD
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nonn
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AUTHOR
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Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 22 2004
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