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A092164 Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (1,1) entry of M^n. 4
1, 11, 61, 371, 2221, 13331, 79981, 479891, 2879341, 17276051, 103656301, 621937811, 3731626861, 22389761171, 134338567021, 806031402131, 4836188412781, 29017130476691, 174102782860141, 1044616697160851 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

a(n) = (2*6^n + 5*(-1)^n)/7.

A092165 +(-1)^n.

a(n)=5*a(n-1)+6*a(n-2). G.f.: x*(1+6*x)/((1+x)*(1-6*x)). - R. J. Mathar, Apr 20 2009

MATHEMATICA

Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[1, 1]], {n, 20}] (* Robert G. Wilson v, Apr 22 2004 *)

CROSSREFS

Cf. A092165, A092166, A092167.

Sequence in context: A199414 A156095 A068846 * A088545 A259257 A289646

Adjacent sequences:  A092161 A092162 A092163 * A092165 A092166 A092167

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 May 18 23:56 EDT 2021. Contains 344009 sequences. (Running on oeis4.)