A012607 Expansion of e.g.f. cosh(arcsinh(x)*arcsin(x)) in powers of x^4.

1, 12, 6608, 38672832, 1035058952448, 83042522104507392, 15719007594987094364160, 6022323864926672477183262720, 4197932412058374095614953273753600, 4922389796431785545171098869117903175680, 9142247102564078197343781800203076548024074240

Offset

0,2

Links

Andrew Howroyd, Table of n, a(n) for n = 0..50

Example

1 + 12/4!*x^4 + 6608/8!*x^8 + 38672832/12!*x^12 ...

Prog

(PARI) a(n)={my(x=x+O(x*x^(4*n))); polcoef(serlaplace(cosh(asinh(x)*asin(x))), 4*n)} \\ Andrew Howroyd, Nov 05 2019

Crossrefs

Sequence in context: A171669 A094268 A208865 * A167072 A333674 A308130

Adjacent sequences: A012604 A012605 A012606 * A012608 A012609 A012610

Keyword

nonn

Author

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

Extensions

Terms a(8) and beyond from Andrew Howroyd, Nov 05 2019

Status

approved