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A022117 Fibonacci sequence beginning 2, 15. 3
2, 15, 17, 32, 49, 81, 130, 211, 341, 552, 893, 1445, 2338, 3783, 6121, 9904, 16025, 25929, 41954, 67883, 109837, 177720, 287557, 465277, 752834, 1218111, 1970945, 3189056, 5160001, 8349057, 13509058, 21858115, 35367173, 57225288, 92592461, 149817749 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Tanya Khovanova, Recursive Sequences
FORMULA
G.f.: (2+13*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008
a(n) = a(n-1) + a(n-2). - Wesley Ivan Hurt, Oct 01 2021
MATHEMATICA
a={}; b=2; c=15; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 1, 40, 1}]; a (* Vladimir Joseph Stephan Orlovsky, Jul 23 2008 *)
Transpose[NestList[{#[[2]], #[[1]]+#[[2]]}&, {2, 15}, 40]][[1]] (* Harvey P. Dale, Dec 16 2010 *)
CoefficientList[Series[(2 + 13 x)/(1 - x - x^2), {x, 0, 40}], x] (* Wesley Ivan Hurt, Jun 15 2014 *)
CROSSREFS
Sequence in context: A337824 A114606 A276114 * A042571 A041797 A041289
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Jun 14 1998
EXTENSIONS
More terms from Wesley Ivan Hurt, Jun 15 2014
STATUS
approved

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Last modified July 23 12:38 EDT 2024. Contains 374549 sequences. (Running on oeis4.)