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Search: id:A092676
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| A092676 |
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Numerators of coefficients in the series for InverseErf[2x/Sqrt[Pi]]. |
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+0
5
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| 1, 1, 7, 127, 4369, 34807, 20036983, 2280356863, 49020204823, 65967241200001, 15773461423793767, 655889589032992201, 94020690191035873697, 655782249799531714375489, 44737200694996264619809969
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Differs from A002067(n) at n=6, 9, 12, ....
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REFERENCES
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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, Mathematica program and first 50 terms of the series
Eric Weisstein's World of Mathematics, Inverse Erf
Wikipedia, Error Function
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FORMULA
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See Maple program for recurrence.
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EXAMPLE
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InverseErf[2x/Sqrt[Pi]] = x + x^3/3 + 7x^5/30 + 127x^7/630 + 4369x^9/22680 + 34807x^11/178200 + ...
The first few coefficients are 1, 1, 7/6, 127/90, 4369/2520, 34807/16200, 20036983/7484400, 2280356863/681080400, ...
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MAPLE
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c:=proc(n) option remember; if n <= 0 then RETURN(1); else RETURN( add( c(k)*c(n-k-1)/((k+1)*(2*k+1)), k=0..n-1 ) ); fi; end;
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CROSSREFS
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Cf. A002067, A092677, A052712. For denominators see A132467.
Sequence in context: A064754 A025166 A139291 this_sequence A002067 A138523 A034670
Adjacent sequences: A092673 A092674 A092675 this_sequence A092677 A092678 A092679
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KEYWORD
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nonn,frac
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Mar 02, 2004
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 15 2007
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