login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A180721 L.g.f: A(x) = Sum_{n>=1} a(n)*x^n/n = Sum_{n>=1} E( a(n)*x )^n*x^n/n where E(x) = exp(A(x)) is the g.f. of A180720. 1
1, 3, 16, 183, 6236, 1057176, 1733913028, 74017764628367, 352900886016894052282, 1553933222263165003400252699258, 133132594387470620595913152570240200262971699 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..10.

EXAMPLE

L.g.f: A(x) = x + 3*x^2/2 + 16*x^3/3 + 183*x^4/4 + 6236*x^5/5 +...+ a(n)*x^n/n +...

which also equals the series:

A(x) = log(E(x)) = E(x)*x + E(3*x)^2*x^2/2 + E(16*x)^3*x^3/3 + E(183*x)^4*x^4/4 + E(6236*x)^5*x^5/5 +...+ E(a(n)*x)^n*x^n/n +...

where E(x) is the integer series:

E(x) = 1 + x + 2*x^2 + 7*x^3 + 53*x^4 + 1305*x^5 + 177559*x^6 + 247880897*x^7 + 9252468642944*x^8 +...+ A180720(n)*x^n +...

PROG

(PARI) {a(n)=local(A=1+x+x*O(x^n), L); for(i=1, n, L=Vec(deriv(log(A))); A=exp(sum(m=1, #L, subst(A, x, L[m]*x)^m*x^m/m)+x*O(x^n))); if(n<1, 0, L[n])}

CROSSREFS

Cf. A180720.

Sequence in context: A203593 A024041 A152554 * A192668 A045990 A007006

Adjacent sequences:  A180718 A180719 A180720 * A180722 A180723 A180724

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 19 2010

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified November 25 21:44 EST 2014. Contains 250010 sequences.