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A154243
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Numerators of the coefficients of the polynomials 1/Sum_{n>=1} x^(n-1)/((2*n)!/n!) = 2*exp(-x/4)*sqrt(x)/ (sqrt(Pi)*erf(sqrt(x)/2)).
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0
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2, -1, 1, -1, -1, 1, 23, -23, 157, 97051, -1614583, -331691, 1418383997, -5720927, -1868325937, 1207461869239, 118209298450003, -3069893653, -14303719087308533, 65108016166881997, -310766859240153209819
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = numerator([x^n]*(1/Sum_{k>=1} x^(k-1)/((2*k)!/k!)).
a(n) = numerator([x^n]*2*exp(-x/4)*sqrt(x)/(sqrt(Pi)*erf(sqrt(x)/2)))).
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MATHEMATICA
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p[x] = FullSimplify[1/Sum[x^(n - 1)/((2*n)!/n!), {n, 1, Infinity}]];
Table[ Numerator[SeriesCoefficient[Series[p[x], {x, 0, 30}], n]], {n, 0, 30}]
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PROG
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(PARI) seq(n)={[numerator(t) | t<-Vec(1/sum(k=1, n, x^(k-1)/((2*k)!/k!), O(x^n)))]} \\ Andrew Howroyd, Nov 02 2019
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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