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A259647 Expansion of exp(x*arcsin(x)) (even powers only). 3
1, 2, 16, 294, 10424, 635130, 60535212, 8378845734, 1591416365520, 397329777218034, 126160335768212820, 49635257475383554590, 23694522124288261524984, 13490127107426613875639850, 9029074877857980800375629500, 7018229497764789751949369835030 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

FORMULA

a(n) ~ (2*n)! * exp(Pi/2) / (2*sqrt(Pi)*n^(3/2)).

MATHEMATICA

nmax=20; Table[(CoefficientList[Series[E^(x*ArcSin[x]), {x, 0, 2*nmax}], x] * Range[0, 2*nmax]!)[[2*n+1]], {n, 0, nmax}]

CROSSREFS

Cf. A006228, A191301.

Sequence in context: A189611 A189689 A188740 * A188985 A009250 A335618

Adjacent sequences:  A259644 A259645 A259646 * A259648 A259649 A259650

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jul 02 2015

STATUS

approved

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Last modified November 25 19:24 EST 2020. Contains 338625 sequences. (Running on oeis4.)