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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A179469 G.f. satisfies: A(x) = exp( Sum_{n>=1} 2^n*A(x^n)*x^n/n ). 0
1, 2, 8, 32, 140, 624, 2928, 14048, 69200, 347040, 1768120, 9122144, 47572128, 250341312, 1327718272, 7089595552, 38082093120, 205638343552, 1115635692576, 6078058719232, 33239328613648, 182402290944576, 1004073853702320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

EXAMPLE

G.f.: A(x) = 1 + 2*x + 8*x^2 + 32*x^3 + 140*x^4 + 624*x^5 + +...

log(A(x)) = 2*A(x) + 4*A(x^2)*x^2/2 + 8*A(x^3)*x^3/3 + 16*A(x^4)*x^4/4 +...

PROG

(PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(sum(m=1, n, subst(A, x, x^m+x*O(x^n))*2^m*x^m/m))); polcoeff(A, n)}

CROSSREFS

Sequence in context: A150848 A150849 A150850 * A150851 A150852 A150853

Adjacent sequences:  A179466 A179467 A179468 * A179470 A179471 A179472

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 15 2010

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 20 10:43 EDT 2021. Contains 348100 sequences. (Running on oeis4.)