A012659 Expansion of e.g.f. arcsin(tanh(x) * exp(x)).

0, 1, 2, 2, 8, 80, 512, 3992, 47168, 588800, 7903232, 124255232, 2161507328, 40505429120, 829919658752, 18433385276672, 438231826239488, 11136829247959040, 301669044409475072, 8662857659856269312

Offset

0,3

Links

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

Example

x + 2/2!*x^2 + 2/3!*x^3 + 8/4!*x^4 + 80/5!*x^5 ...

Maple

seq(coeff(series(factorial(n)*arcsin(tanh(x)*exp(x)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 24 2018

Crossrefs

Sequence in context: A000615 A297010 A012413 * A009448 A012410 A295382

Adjacent sequences: A012656 A012657 A012658 * A012660 A012661 A012662

Keyword

nonn

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

a(0) inserted and title improved by Sean A. Irvine, Jul 23 2018

Status

approved