|
| |
|
|
A092165
|
|
Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (1,2) entry of M^n.
|
|
3
| |
|
|
2, 10, 62, 370, 2222, 13330, 79982, 479890, 2879342, 17276050, 103656302, 621937810, 3731626862, 22389761170, 134338567022, 806031402130, 4836188412782, 29017130476690, 174102782860142, 1044616697160850
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
FORMULA
| 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]
|
|
|
MATHEMATICA
| Table[ MatrixPower[{{1, 2}, {5, 4}}, n][[1, 2]], {n, 20}] (from Robert G. Wilson v Apr 22 2004)
|
|
|
CROSSREFS
| Cf. A092164, A092166, A092167.
Sequence in context: A052600 A183958 A155626 * A107026 A107841 A175936
Adjacent sequences: A092162 A092163 A092164 * A092166 A092167 A092168
|
|
|
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
|
| |
|
|
