|
|
A009288
|
|
Expansion of exp(x)/cos(log(1+x)).
|
|
0
|
|
|
1, 1, 2, 1, 11, -39, 356, -3023, 30841, -349979, 4422846, -61445339, 931259427, -15288729819, 270290509256, -5119527465219, 103428161877041, -2220041987184023, 50453882091213146, -1210316349687219159
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ n! * exp(-1 + exp(-Pi/2)) / ((exp(Pi/2)-1) * (exp(-Pi/2)-1)^n). - Vaclav Kotesovec, Jan 22 2015
|
|
MATHEMATICA
|
Exp[ x ]/Cos[ Log[ 1+x ] ]
CoefficientList[Series[E^x*Sec[Log[1 + x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 22 2015 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|