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A013047
tan(sinh(x)+tan(x))=2*x+19/3!*x^3+769/5!*x^5+67345/7!*x^7...
1
2, 19, 769, 67345, 10170577, 2350029977, 770367837321, 339987628582481, 194352713896710433, 139694411950654484905, 123308135456808383622937, 131131181574217458549045281, 165356414397352918016200574961
OFFSET
0,1
FORMULA
a(n) ~ 2 * (2*n+1)! / ((cosh(r) + 1/(cos(r))^2) * r^(2*n+2)), where r = 0.6897918664614192227814262662202471295055814443118279957952... is the root of the equation sinh(r) + tan(r) = Pi/2. - Vaclav Kotesovec, Feb 07 2015
MATHEMATICA
nn = 20; Table[(CoefficientList[Series[Tan[Sinh[x] + Tan[x]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 07 2015 *)
CROSSREFS
Sequence in context: A118189 A062623 A155956 * A012951 A012980 A323280
KEYWORD
nonn
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
STATUS
approved