The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A215677 2n-th derivative of sech(x)^cosh(x) at x=0. 1
 1, -1, -1, 44, -211, -9136, 118799, 9894884, -368001271, -3949758496, -1062959453221, 352302017500124, -54987975498787651, 11177493084346370144, -3145848334837840227961, 988952736939184411495964, -349477151478120199840810351, 141758901275895434356815281984 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS sech(x) = 1/cosh(x). The sequence gives only 2n-th derivatives because (2n+1)-th derivatives are 0. LINKS FORMULA a(n) = (2n)! * [x^(2n)] sech(x)^cosh(x). MAPLE a:= n-> (2*n)!* coeff(series(sech(x)^cosh(x), x, 2*n+1), x, 2*n): seq (a(n), n=0..20); #  Alois P. Heinz, Aug 20 2012 MATHEMATICA f[x_] := Sech[x]^Cosh[x]; Table[Derivative[2*n][f][0], {n, 0, 17}] CROSSREFS Cf. A186248. Sequence in context: A026908 A183246 A186248 * A122235 A250454 A250447 Adjacent sequences:  A215674 A215675 A215676 * A215678 A215679 A215680 KEYWORD sign AUTHOR Michel Lagneau, Aug 20 2012 STATUS approved

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

Last modified August 14 13:51 EDT 2020. Contains 336481 sequences. (Running on oeis4.)