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A112395
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Next term is the sum of the last 10 digits in the sequence.
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15
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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 23, 28, 37, 44, 40, 37, 42, 38, 39, 43, 46, 46, 50, 44, 40, 37, 37, 37, 42, 40, 40, 34, 31, 25, 26, 30, 29, 33, 35, 36, 37, 44, 41, 40, 36, 36, 35, 35, 38, 45, 45, 45, 46, 48, 49, 53, 52, 50, 45, 42, 35, 35, 36, 40, 35, 37, 39, 43, 41
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,12
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COMMENTS
| Digits, not terms!
There are only 10^10 possibilities for the last 10 digits, so the sequence must eventually cycle.
Cycles at n(19)=44 and the loop has 312 terms. - Hans Havermann
Terms computed by Gilles Sadowski.
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EXAMPLE
| 0 + 0 + 1 + 1 + 2 + 4 + 8 + 1 + 6 = 23
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MATHEMATICA
| a[1] = a[2] = a[3] = a[4] = a[5] = a[6] = a[7] = a[8] = a[9] = 0; a[10] = 1; a[n_] := a[n] = Plus @@ Take[ Flatten@Table[IntegerDigits[a[i]], {i, n - 10, n - 1}], -10]; Array[a, 74] (from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 09 2005)
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CROSSREFS
| Sequence in context: A058961 A130917 A007612 * A004207 A062729 A004620
Adjacent sequences: A112392 A112393 A112394 * A112396 A112397 A112398
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KEYWORD
| base,easy,nonn
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AUTHOR
| Eric Angelini (eric.angelini(AT)kntv.be), Dec 05 2005
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