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A302586 a(n) = n! * [x^n] exp(n*x)*tan(x). 8
0, 1, 4, 29, 288, 3641, 55872, 1008349, 20923392, 490730641, 12836633600, 370512824285, 11697136754688, 400947361714121, 14829211483455488, 588633245015433437, 24960134277040177152, 1126038686507284428961, 53851620649898789830656, 2721385807644104827095965 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..19.

N. J. A. Sloane, Transforms

FORMULA

a(n) ~ tan(1) * n^n. - Vaclav Kotesovec, Jun 08 2019

MATHEMATICA

Table[n! SeriesCoefficient[Exp[n x] Tan[x], {x, 0, n}], {n, 0, 19}]

Table[I^(n + 1) 2^(n - 1) (EulerE[n, (-I/2) n] - EulerE[n, 1 - (I/2) n]), {n, 0, 19}]

CROSSREFS

Cf. A000182, A009739, A115415, A115416, A293020, A302583, A302584, A302585, A302587.

Sequence in context: A160885 A182356 A083072 * A302609 A181197 A217807

Adjacent sequences:  A302583 A302584 A302585 * A302587 A302588 A302589

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 10 2018

STATUS

approved

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Last modified September 19 23:31 EDT 2019. Contains 327207 sequences. (Running on oeis4.)