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A226180
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Denominators in Taylor series for integral of tan(x)/x.
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1
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1, 9, 75, 2205, 25515, 1715175, 79053975, 9577693125, 184530220875, 35266981624875, 4092826025413125, 66711917764366875, 92454016466921484375, 35047468562280596296875, 7641646200968365570359375, 3798425171964103092990703125, 133435000395771234460221796875
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OFFSET
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1,2
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COMMENTS
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Numerators are the same as those from the expansion of tan(x).
Unlike the "sine integral" function Si(x), it seems that there does not exist a "tan integral" function.
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LINKS
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FORMULA
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MATHEMATICA
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a[n_] := Denominator[(-1)^(n-1)*4^n*(4^n-1)*BernoulliB[2*n]/(2*n)!]*(2*n-1); Table[a[n], {n, 1, 17}]
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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