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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 A362734 A009250 Adjacent sequences: A259644 A259645 A259646 * A259648 A259649 A259650 KEYWORD nonn AUTHOR Vaclav Kotesovec, Jul 02 2015 STATUS approved

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Last modified December 4 06:57 EST 2023. Contains 367557 sequences. (Running on oeis4.)