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Search: id:A007019
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| A007019 |
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(2n+1)! / 2^n.
(Formerly M3126)
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+0
8
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| 1, 3, 30, 630, 22680, 1247400, 97297200, 10216206000, 1389404016000, 237588086736000, 49893498214560000, 12623055048283680000, 3786916514485104000000, 1329207696584271504000000
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Denominators of coefficients of the Taylor series of Sinh(Sqrt(2x))/(Sqrt(2x)) - J. Zurita (jrzurita(AT)inaoep.mx), Dec 01 2007
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
L. Carlitz, The inverse of the error function, Pacific J. Math., 13 (1963), 459-470.
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LINKS
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Eric Weisstein's World of Mathematics, Inverse Erf
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FORMULA
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sin(x)*cosh(x)=sum(n>=0, (-1)^floor(n/2)*x^(2n+1)/a(n)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 02 2002
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MAPLE
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a[1]:=1:for n from 2 to 50 do a[n]:=a[n-1]*(2*n-1)*(n-1) od: seq(a[n], n=1..14); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 08 2008
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CROSSREFS
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Numerators: A002067, erf(x): A007680.
Sequence in context: A144739 A080527 A092677 this_sequence A082879 A012007 A065753
Adjacent sequences: A007016 A007017 A007018 this_sequence A007020 A007021 A007022
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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