|
|
A009600
|
|
Expansion of e.g.f. sin(tan(x))*x/2 (even powers only).
|
|
1
|
|
|
1, 56, 5056, -8648704, -7517057024, 82066777604096, 27511745714323456, -8171138983967372345344, 74351622296124892534276096, 3458659437902679786800310910976, -174596051680041185684701426120392704, -1616689111713841897872270552294850822144
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (4*n+2)! * [x^(4*n+2)] sinh(sinh(x)*sin(x))/2.
|
|
MATHEMATICA
|
nmax = 50; coes = CoefficientList[Series[Sinh[Sinh[x]*Sin[x]]/2, {x, 0, 4*nmax + 2}], x]; a[n_] := coes[[4*n + 3]]*(4*n + 2)!; Table[a[n], {n, 0, nmax}] (* G. C. Greubel, Jan 30 2018 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Extended with signs Mar 1997
|
|
STATUS
|
approved
|
|
|
|