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Search: id:A154289
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A154289 Denominator of coefficient expansion of: p(x)= 1/Sum[x^(n - 1)/(2*n - 1)!!, {n, 1, Infinity}] =(Sqrt[2/Pi]*Sqrt[x])/ (E^(x/2)*Erf[Sqrt[x]/Sqrt[2]]. +0
2
1, 3, 45, 945, 14175, 93555, 638512875, 273648375, 44405668125, 194896477400625, 32157918771103125, 201717854109646875, 3028793579456347828125, 698952364489926421875, 564653660170076273671875 (list; table; graph; listen)
OFFSET

0,2

COMMENT

I owe the improved coding in Mathematica to Bob Hanlon.

FORMULA

p(x)= 1/Sum[x^(n - 1)/(2*n - 1)!!, {n, 1, Infinity}] =(Sqrt[2/Pi]*Sqrt[x])/ (E^(x/2)*Erf[Sqrt[x]/Sqrt[2]].

MATHEMATICA

q[x_] = (Sqrt[2/Pi]*Sqrt[x])/ (E^(x/2)*Erf[Sqrt[x]/Sqrt[2]]) ;

Denominator[CoefficientList[Series[q[x], {x, 0, 30}], x]]

CROSSREFS

Sequence in context: A132303 A008931 A036278 this_sequence A012827 A012769 A009088

Adjacent sequences: A154286 A154287 A154288 this_sequence A154290 A154291 A154292

KEYWORD

nonn,uned,tabl,frac

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 06 2009

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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