A135751 - OEIS

A135751

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

1, 1, 3, 17, 154, 2024, 36188, 841196, 24583200, 880119000, 37813650672, 1917155945616, 113110111375776, 7674684562897728, 592864081434168672, 51688751369089356864, 5047456043997923498496, 548361788269165389069312

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

EXAMPLE

E.g.f.: A(x) = 1 + x + 3x^2/2! + 17x^3/3! + 154x^4/4! +2024x^5/5! +...

A(x) = 1 - log(1-x) + log(1-x)*log(1-2x)/2! - log(1-x)*log(1-2x)*log(1-3x)/3! +...

PROG

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

CROSSREFS

Sequence in context: A318987 A353258 A208832 * A368444 A168441 A001469

Adjacent sequences: A135748 A135749 A135750 * A135752 A135753 A135754

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Nov 27 2007

STATUS

approved