A218297 E.g.f.: Sum_{n>=0} (n^2)^n * cosh(n^2*x) * x^n/n!.

1, 1, 16, 732, 67072, 10356120, 2428502016, 806564304896, 360766703665152, 209198209220565120, 152649491877210357760, 136856491451984089032192, 147838797016098042267303936, 189330891572377497747235278848, 283553443348816020717858371665920

Offset

0,3

Comments

Compare e.g.f. to the o.g.f. of A007820: Sum_{n>=0} (n^2)^n * exp(-n^2*x) * x^n/n!.

Links

Table of n, a(n) for n=0..14.

Example

 E.g.f.: A(x) = 1 + x + 16*x^2/2! + 732*x^3/3! + 67072*x^4/4! + 10356120*x^5/5! +...

Prog

 (PARI) {a(n)=polcoeff(serlaplace(sum(k=0, n, (k^2*x)^k/k!*cosh(-k^2*x +x*O(x^n)))), n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A007820.

Sequence in context: A062206 A209537 A086701 * A339202 A307923 A159375

Adjacent sequences: A218294 A218295 A218296 * A218298 A218299 A218300

Keyword

nonn

Author

Paul D. Hanna, Oct 27 2012

Status

approved