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A260503
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Coefficients in an asymptotic expansion of sequence A003319.
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16
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1, -2, -1, -5, -32, -253, -2381, -25912, -319339, -4388949, -66495386, -1100521327, -19751191053, -382062458174, -7924762051957, -175478462117633, -4132047373455024, -103115456926017761, -2718766185148876961, -75529218928863243200, -2205316818199975235447
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OFFSET
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0,2
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LINKS
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FORMULA
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a(k) ~ -k! / (2 * (log(2))^(k+1)).
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EXAMPLE
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A003319(n) / n! ~ 1 - 2/n - 1/n^2 - 5/n^3 - 32/n^4 - 253/n^5 - 2381/n^6 - ...
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MATHEMATICA
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Flatten[{1, Table[Sum[Assuming[Element[x, Reals], SeriesCoefficient[E^(2/x)*x^2 / ExpIntegralEi[1/x]^2, {x, 0, k}]] * StirlingS2[n-1, k-1], {k, 1, n}], {n, 1, 20}]}] (* Vaclav Kotesovec, Aug 03 2015 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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