A013471 Coefficient of [x^(4*n+2)] in e.g.f. arcsin(cosh(x) - cos(x)).

2, 122, 277202, 3983059082, 200112585065762, 26008401336337737242, 7277388248057262118433522, 3872999317699675699454283234602, 3585401782089744868804837371127740482, 5396888276982771143162586362050799875871162

Offset

0,1

Links

Table of n, a(n) for n=0..9.

Example

2/2!*x^2 + 122/6!*x^6 + 277202/10!*x^10 + 3983059082/14!*x^14 ...

Mathematica

DeleteCases[ Range[0, 38]! CoefficientList[ Series[ ArcSin[Cosh[x] - Cos[x]], {x, 0, 38}], x], 0] (* Robert G. Wilson v, Aug 06 2018 *)

Crossrefs

Sequence in context: A222873 A325889 A013475 * A370967 A249497 A249498

Adjacent sequences: A013468 A013469 A013470 * A013472 A013473 A013474

Keyword

nonn

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Extensions

a(0)=2 inserted, more terms, and title improved by Sean A. Irvine, Aug 06 2018

Status

approved