A067654 Numerators of the coefficients in power series expansion of exp(2x/(1-x)).

2, 4, 22, 38, 314, 1504, 16346, 24796, 331906, 2426404, 38445118, 163944598, 2993870654, 2647864592, 601353085846, 820420721222, 18874008233858, 20741357283932, 5782164084903302, 38314394323494974, 1059898973520975218

Offset

1,1

References

K. Knopp, Theory and application of infinite series, Dover, p. 547.

O. Perron, Über das infinitäre Verhalten der Koeffizienten einer gewissen Potenzreihe, Archiv d. Math. u. Phys. (3), Vol. 22, pp. 329-340, 1914.

Links

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

Formula

a(n) is the numerator of Sum_{i=1..n} binomial(n-1, i-1)*2^i/i!.

Crossrefs

Cf. A067655.

Sequence in context: A366060 A298471 A348785 * A271944 A152120 A072355

Adjacent sequences: A067651 A067652 A067653 * A067655 A067656 A067657

Keyword

nonn,frac

Author

Benoit Cloitre, Feb 03 2002

Status

approved