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Search: id:A119490
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| A119490 |
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Absolute value of the sum of rows in A118687 triangular array of the Stirling first kind. |
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+0
1
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| 1, 2, 4, 8, 16, 80, 400, 10000, 250000, 48250000, 83424250000, 1441654464250000
(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 A118687 this makes probability like numbers that could be used for Bernstein-Bezier type normalized polynomials: with the A118686 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]=A118687[n,m] a(n) = Sum[Abs[T[n,m]]
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MATHEMATICA
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f[n_] := If[PrimeQ[n] == True, 1, n]; cf[0] = 1; cf[n_Integer?Positive] := cf[n] = f[n]*cf[n - 1] a = Flatten[Join[{{1}}, Table[Apply[Plus, Abs[Reverse[CoefficientList[Product[x - cf[n], {n, 0, m}], x]]]], {m, 0, 10}]]]
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CROSSREFS
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Cf. A123457, A118686, A118687.
Sequence in context: A001127 A051299 A097049 this_sequence A013174 A098204 A095197
Adjacent sequences: A119487 A119488 A119489 this_sequence A119491 A119492 A119493
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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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