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Search: id:A091363
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| 0, 1, 16, 162, 1536, 15000, 155520, 1728720, 20643840, 264539520, 3628800000, 53129260800, 827714764800, 13680764697600, 239217231052800, 4413400992000000, 85699747381248000, 1747492334235648000
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)
Denominators in the power series expansion of the higher order exponential integral E(x,3,1) + (gamma^3/6+Pi^2*gamma/36+zeta(3)/3+Pi^2*gamma/18) + (gamma^2/2+Pi^2/12)*ln(x) + gamma*ln(x)^2/2 + ln(x)^3/6, n>0. See A163931 for information on the E(x,m,n).
(End)
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FORMULA
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E.g.f.: (x+4x^2+x^3)/(1-x)^4
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MAPLE
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a:=n->sum(sum(sum((n!), j=1..n), k=1..n), m=1..n): seq(a(n), n=0..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2007
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MATHEMATICA
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Table[n!n^3, {n, 0, 20}]
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CROSSREFS
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Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)
Cf. A163931 (E(x,m,n)), A001563 (n*n!), A002775 (n^2*n!), A091364 (n^4*n!).
(End)
Sequence in context: A041484 A011551 A085538 this_sequence A138407 A094857 A025930
Adjacent sequences: A091360 A091361 A091362 this_sequence A091364 A091365 A091366
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Jan 07 2004
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