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A092166
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Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (2,1) entry of M^n.
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3
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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; internal format)
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OFFSET
| 1,1
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FORMULA
| a(n) = (5*6^n - 5*(-1)^n)/7.
A092167 +(-1)^n.
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MATHEMATICA
| Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 1]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
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CROSSREFS
| Cf. A092164, A092165, A092167.
Sequence in context: A047782 A106565 A200031 * A204209 A121112 A090014
Adjacent sequences: A092163 A092164 A092165 * A092167 A092168 A092169
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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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