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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

%I #2 Mar 30 2012 18:37:20

%S 1,1,4,35,528,12014,380982,15981314,853810080,56442780072,

%T 4513359155448,428643194420880,47627449272834120,6113664230324396472,

%U 896943833995915594080,149016039235377313171320

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

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

%e A(x) = 1 - log(1-x) + log(1-x)*log(1-3x)/2! - log(1-x)*log(1-3x)*log(1-5x)/3! +...

%o (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)}

%Y Cf. A135751, A171779.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Dec 18 2009

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)