A381845 - OEIS

A381845

a(n) = denominator( (e/Pi)*Integral_{x=-oo..+oo} cos(x)/(1 + x^2)^n dx ).

1, 1, 8, 48, 192, 3840, 46080, 322560, 10321920, 26542080, 1857945600, 11678515200, 1961990553600, 25505877196800, 1428329123020800, 42849873690624000, 8903869857792000, 46620662575398912000, 2634762720116736000, 31888533201572855808000, 196237127394294497280000

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

1, 1, 7/8, 37/48, 133/192, 2431/3840, 27007/46080, 176761/322560, ...

MATHEMATICA

a[n_]:=Denominator[(E/Pi)Integrate[Cos[x]/(1 + x^2)^n, {x, -Infinity, Infinity}]]; Array[a, 21]

CROSSREFS

Cf. A061360, A061382, A143991 (conjectured numerators).

Sequence in context: A247727 A187174 A128796 * A093199 A263507 A261975