|
|
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
|
|
|
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
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Patrick Demichel (patrick.demichel(AT)hp.com)
|
|
STATUS
|
approved
|
|
|
|