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Search: id:A114849
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| A114849 |
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Difference between two Fibonacci cycles A000045 (three's cycle minus two's cycle). |
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+0
1
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| 0, 3, 31, 257, 1950, 14164, 100464, 702919, 4878575, 33695365, 232040622, 1595043816, 10952137040, 75149854091, 515435467055, 3534332855753, 24230970910510, 166108203507452, 1138635489987488, 7804802111777935
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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c=limit[a[n+1]/a[n],n->Infinity][[100]]-->6.854101966249684544618718 c=(1+Sqrt[5])*(2+Sqrt[5])/2
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FORMULA
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a(n) = F[4*(n + 1)]/F[4]-F[3*(n + 1)]/F[3]
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MATHEMATICA
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a[0] = 0; a[1] = 1; a[n_] := a[n] = a[n - 1] + a[n - 2] b = Table[a[4*(n + 1)]/a[4], {n, 0, 25}]; c = Table[a[3*(n + 1)]/a[3], {n, 0, 25}]; aout = b - c
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CROSSREFS
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Cf. A000045.
Sequence in context: A114654 A111400 A057972 this_sequence A112425 A144579 A069589
Adjacent sequences: A114846 A114847 A114848 this_sequence A114850 A114851 A114852
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KEYWORD
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nonn,uned
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Feb 20 2006
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