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A114112
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a(1)=1; for n>1, a(n) is the smallest positive integer not occurring earlier in the sequence such that a(n) does not divide sum{k=1 to n-1} a(k).
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2
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1, 2, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11, 14, 13, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 26, 25, 28, 27, 30, 29, 32, 31, 34, 33, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 50, 49, 52, 51, 54, 53, 56, 55, 58, 57, 60, 59, 62, 61, 64, 63, 66, 65, 68, 67, 70, 69, 72, 71
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(1)=1. a(2)=2. For n>=3, a(n) = A014681(n) = A103889(n).
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MATHEMATICA
| a[1] = 1; a[n_] := a[n] = Block[{k = 1, s, t = Table[ a[i], {i, n - 1}]}, s = Plus @@ t; While[ Position[t, k] != {} || Mod[s, k] == 0, k++ ]; k]; Array[a, 72] (* Robert G. Wilson v *)
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CROSSREFS
| Cf. A014681, A103889, A114113.
Sequence in context: A067747 A073846 A110458 * A113981 A143692 A114792
Adjacent sequences: A114109 A114110 A114111 * A114113 A114114 A114115
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet Nov 13 2005
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 18 2005
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