[go: up one dir, main page]

login
A013450
exp(tan(x)-arcsinh(x)) = 1+3/3!*x^3+7/5!*x^5+90/6!*x^6+497/7!*x^7...
1
1, 0, 0, 3, 0, 7, 90, 497, 1176, 4471, 185094, 1537877, 1964028, -3633797, 1848048202, 22918664225, -75962374768, -1620122697905, 67890529994062, 1135357942624877, -11941170933349628, -252473078493886301
OFFSET
0,4
LINKS
FORMULA
E.g.f.: exp(tan(x))/(x+sqrt(1+x^2)). - Vaclav Kotesovec, Nov 01 2013
a(n) ~ -2*cos(Pi*n/2-tanh(1)) * n^(n-1) / exp(n). - Vaclav Kotesovec, Nov 01 2013
MATHEMATICA
CoefficientList[Series[Exp[Tan[x]-ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)
CROSSREFS
Sequence in context: A296364 A071296 A309669 * A013421 A011081 A209491
KEYWORD
sign
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved