|
| |
|
|
A124312
|
|
G.f.: (x^3 + x^2 + x + 1)/(1 - x - x^2 - x^3 - x^4 - x^5).
|
|
1
| |
|
|
0, 0, 1, 0, 1, 2, 4, 8, 15, 30, 59, 116, 228, 448, 881, 1732, 3405, 6694, 13160, 25872, 50863, 99994, 196583, 386472, 759784, 1493696, 2936529, 5773064, 11349545, 22312618, 43865452, 86237208, 169537887, 333302710, 655255875, 1288199132
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,6
|
|
|
COMMENTS
| Second column of the n-th power of pentanacci matrix {{1,1,1,1,1},{1,0,0,0,0},{0,1,0,0,0},{0,0,1,0,0},{0,0,0,1,0}} read from bottom to top gives 5 numbers starting from position n.
|
|
|
LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
|
|
|
MATHEMATICA
| f[n_] := MatrixPower[{{1, 1, 1, 1, 1}, {1, 0, 0, 0, 0}, {0, 1, 0, 0, 0}, {0, 0, 1, 0, 0}, {0, 0, 0, 1, 0}}, n][[ 1, 3]]; Array[f, 50]
CoefficientList[Series[(x^3 + x^2 + x + 1)/(1 - x - x^2 - x^3 - x^4 - x^5), { x, 0, 50}], x]
|
|
|
CROSSREFS
| Cf. A001591, A124311, A124313, A124314.
Sequence in context: A018088 A189101 A018089 * A068030 A191497 A052325
Adjacent sequences: A124309 A124310 A124311 * A124313 A124314 A124315
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Oct 25 2006
|
|
|
EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 29 2006, Jul 14 2007
|
| |
|
|
