A171778 E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} -log(1 - (2k-1)x).

1, 1, 4, 35, 528, 12014, 380982, 15981314, 853810080, 56442780072, 4513359155448, 428643194420880, 47627449272834120, 6113664230324396472, 896943833995915594080, 149016039235377313171320

Offset

0,3

Links

Table of n, a(n) for n=0..15.

Example

E.g.f.: A(x) = 1 + x + 4x^2/2! + 35x^3/3! + 528x^4/4! + 12014x^5/5! +...
A(x) = 1 - log(1-x) + log(1-x)*log(1-3x)/2! - log(1-x)*log(1-3x)*log(1-5x)/3! +...

Prog

(PARI) {a(n)=n!*polcoeff(1+sum(j=1, n, (1/j!)*prod(k=1, j, -log(1-(2*k-1)*x +x*O(x^n)))), n)}

Crossrefs

Cf. A135751, A171779.

Sequence in context: A143669 A349656 A180716 * A119391 A177387 A165933

Adjacent sequences: A171775 A171776 A171777 * A171779 A171780 A171781

Keyword

nonn

Author

Paul D. Hanna, Dec 18 2009

Status

approved