The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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