A262004 L.g.f.: log( Sum_{n>=0} x^n/n! * Product_{k=1..n} (k^4 + 1) ).

2, 30, 1300, 115380, 18362616, 4800297144, 1929066361136, 1131386990471376, 929148154976860592, 1033280101490424757200, 1513696127276317671503232, 2854591502346208585710465024, 6796099969466204436648991894784, 20087194984043555807709161038217856, 72648127998052140755125407470469776640

Offset

1,1

Links

Table of n, a(n) for n=1..15.

Example

L.g.f.: L(x) = 2*x + 30*x^2/2 + 1300*x^3/3 + 115380*x^4/4 + 18362616*x^5/5 + 4800297144*x^6/6 +...
where
exp(L(x)) = 1 + 2*x + 34*x^2/2! + 2788*x^3/3! + 716516*x^4/4! + 448539016*x^5/5! + 581755103752*x^6/6! +...+ A255434(n)*x^n/n! +...

Prog

(PARI) {a(n) = n*polcoeff( log(sum(m=0, n+1, x^m/m!*prod(k=1, m, k^4+1)) +x*O(x^n)), n)}
for(n=1, 30, print1(a(n), ", "))

Crossrefs

Cf. A255434.

Sequence in context: A246741 A089016 A364504 * A132104 A208093 A144501

Adjacent sequences: A262001 A262002 A262003 * A262005 A262006 A262007

Keyword

nonn

Author

Paul D. Hanna, Sep 08 2015

Status

approved