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A022133
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Fibonacci sequence beginning 4, 15.
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1
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4, 15, 19, 34, 53, 87, 140, 227, 367, 594, 961, 1555, 2516, 4071, 6587, 10658, 17245, 27903, 45148, 73051, 118199, 191250, 309449, 500699, 810148, 1310847, 2120995, 3431842, 5552837, 8984679, 14537516
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: (4+11*x)/(1-x-x^2).
a(n) = term (1,1) in the 1 X 2 matrix [4,11] . [1,1; 1,0]^n. (End)
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MAPLE
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a:= n-> (Matrix([[4, 11]]).Matrix([[1, 1], [1, 0]])^n)[1, 1]:
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MATHEMATICA
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a={}; b=4; 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]], #[[2]]+#[[1]]}&, {4, 15}, 40]][[1]] (* Harvey P. Dale, Dec 12 2010 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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