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Search: id:A091364
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| 0, 1, 32, 486, 6144, 75000, 933120, 12101040, 165150720, 2380855680, 36288000000, 584421868800, 9932577177600, 177849941068800, 3349041234739200, 66201014880000000, 1371195958099968000, 29707369682006016000
(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,4,1) - ((gamma^4/24+Pi^2*gamma^2/24+zeta(3)*gamma/3+Pi^4/160) + (gamma^3/6+ Pi^2*gamma/12+ zeta(3)/3)*ln(x) + (gamma^2/4+ Pi^2/24)*ln(x)^2 + (gamma/6)*ln(x)^3 + ln(x)^4/24), 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 + 11x^2 + 11x^3 + x^4)/(1 - x)^5
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MAPLE
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a:=n->sum(sum(sum((n+1)!-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^4, {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!), A091363 (n^3*n!).
(End)
Sequence in context: A000152 A022069 A085539 this_sequence A138412 A010948 A022627
Adjacent sequences: A091361 A091362 A091363 this_sequence A091365 A091366 A091367
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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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EXTENSIONS
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More terms from Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 16 2007
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