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Search: id:A092165
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| A092165 |
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Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (1,2) entry of M^n. |
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+0
4
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| 2, 10, 62, 370, 2222, 13330, 79982, 479890, 2879342, 17276050, 103656302, 621937810, 3731626862, 22389761170, 134338567022, 806031402130, 4836188412782, 29017130476690, 174102782860142, 1044616697160850
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OFFSET
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1,1
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FORMULA
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a(n) = (2*6^n - 2*(-1)^n)/7.
A092164 -(-1)^n.
a(n)=5*a(n-1)+6*a(n-2)=2*A015540(n). G.f.: 2*x/((1+x)*(1-6*x)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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MATHEMATICA
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Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[1, 2]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
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CROSSREFS
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Cf. A092164, A092166, A092167.
Sequence in context: A073329 A052600 A155626 this_sequence A107026 A107841 A141140
Adjacent sequences: A092162 A092163 A092164 this_sequence A092166 A092167 A092168
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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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