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A137808
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a(0) = a(1) = 1. a(n) = a(n-1) + a(n-b(n)), where b(n) is smallest prime dividing n.
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2
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1, 1, 2, 3, 5, 6, 11, 12, 23, 34, 57, 58, 115, 116, 231, 346, 577, 578, 1155, 1156, 2311, 3466, 5777, 5778, 11555, 13866, 25421, 36976, 62397, 62398, 124795, 124796, 249591, 374386, 623977, 748772, 1372749, 1372750, 2745499, 4118248, 6863747
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| James A. Sellers (sellersj(AT)math.psu.edu), Feb 18 2008, Table of n, a(n) for n = 0..101
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MAPLE
| with(numtheory): a:=proc(n) option remember: if n = 0 or n = 1 then RETURN(1) fi: a(n-1) + a(n-ifactors(n)[2][1][1]): end: for i from 0 to 100 do printf(`%d, `, a(i)) od: - James A. Sellers (sellersj(AT)math.psu.edu), Feb 18 2008
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MATHEMATICA
| a = {1, 1}; Do[AppendTo[a, a[[ -1]] + a[[n - FactorInteger[n][[1, 1]] + 1]]], {n, 2, 70}]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 14 2008
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CROSSREFS
| Cf. A137809, A020639.
Sequence in context: A127524 A117086 A081026 * A091909 A171040 A100883
Adjacent sequences: A137805 A137806 A137807 * A137809 A137810 A137811
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Feb 11 2008
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EXTENSIONS
| Corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 14 2008
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