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A131528
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a(n) = (n^1 + 1!)*(n^2 + 2!)*(n^3 + 3!)*(n^4 + 4!)/2!.
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1
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144, 525, 5040, 76230, 882000, 6886539, 38974320, 172650300, 633845520, 2008589625, 5657204784, 14470043490, 34161950160, 75378387735, 156979350000, 310979592504, 589757174160, 1076298622245, 1898430030000, 3248190882750, 5407743199824, 8783474489955
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Comment from Peter J. C. Moses, Aug 29 2007: the values of m = m(k) needed to make the sequence a(n,k) = m (n^1 + 1!) (n^2 + 2!) ... (n^i + k!) / k! (n >= 0) take integral values for all n are given in A049614.
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FORMULA
| G.f.: (-3*(48 + x*(-353 + x*(2395 + x*(8635 + x*(93855 + x*(217437 + x*(213873 + 5*x*(12325 + x*(1441 + 16*x)))))))))) / (x - 1)^11 - Peter J. C. Moses, Aug 29 2007
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CROSSREFS
| Sequence in context: A188246 A151820 A014770 * A017402 A155707 A017522
Adjacent sequences: A131525 A131526 A131527 * A131529 A131530 A131531
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KEYWORD
| nonn
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AUTHOR
| Alexander Povolotsky (pevnev(AT)juno.com), Aug 25 2007
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