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Search: id:A119489
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| A119489 |
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Absolute value of the sum of rows in A118686 triangular array of the Stirling first kind. |
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+0
1
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| 1, 2, 4, 12, 84, 588, 18228, 565068, 119229348, 25157392428, 5308209802308, 1120032268286988
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Together with A118686 this makes probability like numbers that could be used for Bernstein-Bezier type normalized polynomials: with the A118687 type triangular array it makes general factoring of Pascal's triangle into two partitions of prime like and composite like events.
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FORMULA
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T[n,m]=A118686[n,m] a(n) = Sum[Abs[T[n,m]]
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MATHEMATICA
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g[n_] := If[PrimeQ[n] == True, n, 1]; p[0] = 1; p[n_Integer?Positive] := p[n] = g[n]*p[n - 1]; a = Flatten[Join[{{1}}, Table[Apply[Plus, Abs[Reverse[CoefficientList[Product[x - p[n], {n, 0, m}], x]]]], {m, 0, 10}]]]
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CROSSREFS
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Cf. A123457, A118686.
Sequence in context: A002080 A001206 A144295 this_sequence A053631 A120618 A038791
Adjacent sequences: A119486 A119487 A119488 this_sequence A119490 A119491 A119492
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 25 2006
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