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 A013569 Expansion of e.g.f. exp(arcsin(x)/exp(x)). 1
 1, 1, -1, -1, 9, -15, -25, 471, -1295, 3329, 65647, -98129, 3713721, 33219953, 270347415, 6061172807, 68349644129, 1202915380097, 19022739778399, 352452078288991, 6138793986311401, 130474490203385201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS G. C. Greubel, Table of n, a(n) for n = 0..400 EXAMPLE exp(arcsin(x)/exp(x)) = 1 + x - 1/2!*x^2 - 1/3!*x^3 + 9/4!*x^4 - 15/5!*x^5 ... MATHEMATICA CoefficientList[Series[Exp[ArcSin[x]/Exp[x]], {x, 0, 100}], x]*Range[0, 100]! (* G. C. Greubel, Nov 19 2016 *) PROG (PARI) x='x+O('x^50); Vec(serlaplace(exp(asin(x)/exp(x)))) \\ G. C. Greubel, Nov 19 2016 CROSSREFS Sequence in context: A014003 A333788 A082549 * A129401 A164385 A339519 Adjacent sequences:  A013566 A013567 A013568 * A013570 A013571 A013572 KEYWORD sign AUTHOR Patrick Demichel (patrick.demichel(AT)hp.com) STATUS approved

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Last modified August 4 16:10 EDT 2021. Contains 346447 sequences. (Running on oeis4.)