|
Search: id:A092167
|
|
|
| A092167 |
|
Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (2,2) entry of M^n. |
|
+0
4
|
|
| 4, 26, 154, 926, 5554, 33326, 199954, 1199726, 7198354, 43190126, 259140754, 1554844526, 9329067154, 55974402926, 335846417554, 2015078505326, 12090471031954, 72542826191726, 435256957150354, 2611541742902126
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
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]
|
|
MATHEMATICA
|
Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[2, 2]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
|
|
CROSSREFS
|
Cf. A092164, A092165, A092166.
Sequence in context: A100236 A144068 A121767 this_sequence A124544 A145840 A108082
Adjacent sequences: A092164 A092165 A092166 this_sequence A092168 A092169 A092170
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Apr 01 2004
|
|
EXTENSIONS
|
Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 22 2004
|
|
|
Search completed in 0.002 seconds
|
