The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A024263 Expansion of sinh(tan(x)*x)/2. 2
 0, 1, 4, 108, 4448, 276560, 24034752, 2782112704, 413640580096, 76768625740032, 17380983003345920, 4711153236657376256, 1505098422997799215104, 559357234754573189828608 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Limit n->infinity A024263(n)/A009252(n) = 1/4. - Vaclav Kotesovec, Jan 20 2015 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..238 FORMULA a(n) ~ n^(2*n-1/4) * 2^(4*n-7/4) * exp(2*sqrt(2*n)-2*n-1/2) / Pi^(2*n) * (1 - (Pi^2-1)/(12*sqrt(2*n))). - Vaclav Kotesovec, Jan 20 2015 MATHEMATICA Sinh[ Tan[ x ]*x ]/2 (* Even Part *) With[{nn=40}, Take[CoefficientList[Series[Sinh[Tan[x]*x]/2, {x, 0, nn}], x] * Range[0, nn]!, {1, -1, 2}]] (* Vaclav Kotesovec, Jan 20 2015 *) CROSSREFS Cf. A009252, A009611. Sequence in context: A336028 A131092 A123056 * A090205 A061464 A107048 Adjacent sequences:  A024260 A024261 A024262 * A024264 A024265 A024266 KEYWORD nonn AUTHOR EXTENSIONS Extended and signs tested 03/97. STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 16 05:38 EDT 2022. Contains 356162 sequences. (Running on oeis4.)