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A119724
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Generalized Pascal's triangle made using Mod[(Prime[n] - 1)/2, 4] == 2 primorial-like Stirling polynomials.
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1
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1, 1, -1, 1, -2, 1, 1, -3, 3, -1, 1, -4, 6, -4, 1, 1, -5, 10, -10, 5, -1, 1, -10, 35, -60, 55, -26, 5, 1, -15, 85, -235, 355, -301, 135, -25, 1, -20, 160, -660, 1530, -2076, 1640, -700, 125, 1, -25, 260, -1460, 4830, -9726, 12020, -8900, 3625, -625, 1, -30, 385, -2760, 12130, -33876, 60650, -69000, 48125, -18750
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| First row that is not Pascal: {1, -10, 35, -60, 55, -26, 5} Of the four Mod[(Prime[n] - 1)/2, 4] types, this is the least Pascal-like.
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FORMULA
| a(n) = Flatten[Join[{{1}}, Table[Reverse[CoefficientList[Product[x - p1[n], {n, 0, m}], x]], {m, 0, 10}]]]
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MATHEMATICA
| a = Join[{{1}}, Table[Reverse[ CoefficientList[Product[x - p1[n], {n, 0, m}], x]], {m, 0, 10}]] aout = Flatten[a]
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CROSSREFS
| Cf. A007318, A118686.
Sequence in context: A108363 A076831 A197061 * A162424 A008571 A051137
Adjacent sequences: A119721 A119722 A119723 * A119725 A119726 A119727
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KEYWORD
| sign,uned,tabf,obsc
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com) Jun 14 2006
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EXTENSIONS
| Should be edited in the same way that I edited A118686. Unfortunately p1 has not been defined, but must be related to "Mod[(Prime[n] - 1)/2, 4] == 2". Compare the definition of p[n] in A118686. - N. J. A. Sloane (njas(AT)research.att.com), Oct 08 2006
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