|
| |
|
|
A022143
|
|
Fibonacci sequence beginning 5 19.
|
|
0
| |
|
|
5, 19, 24, 43, 67, 110, 177, 287, 464, 751, 1215, 1966, 3181, 5147, 8328, 13475, 21803, 35278, 57081, 92359, 149440, 241799, 391239, 633038, 1024277, 1657315, 2681592, 4338907, 7020499, 11359406
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
LINKS
| Tanya Khovanova, Recursive Sequences
|
|
|
FORMULA
| Contribution from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008: (Start)
G.f.: (5+14*x)/(1-x-x^2).
a(n) = term (1,1) in the 1x2 matrix [5,14] . [1,1; 1,0]^n. (End)
|
|
|
MAPLE
| (Maple) a := n -> (Matrix([[5, 14]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]; seq (a(n), n=0..29); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
|
|
|
MATHEMATICA
| a={}; b=5; c=19; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 17 2008]
|
|
|
CROSSREFS
| Sequence in context: A062340 A167766 A106957 * A004623 A018475 A119238
Adjacent sequences: A022140 A022141 A022142 * A022144 A022145 A022146
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
