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A171778 E.g.f.: A(x) = 1 + Sum_{n>=1} (1/n!)*Product_{k=1..n} -log(1 - (2k-1)x). 1
1, 1, 4, 35, 528, 12014, 380982, 15981314, 853810080, 56442780072, 4513359155448, 428643194420880, 47627449272834120, 6113664230324396472, 896943833995915594080, 149016039235377313171320 (list; graph; refs; listen; history; text; internal format)
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: A224797 A143669 A180716 * A119391 A177387 A165933

Adjacent sequences:  A171775 A171776 A171777 * A171779 A171780 A171781

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 18 2009

STATUS

approved

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Last modified January 23 19:36 EST 2020. Contains 331175 sequences. (Running on oeis4.)