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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A195068 G.f. satisfies: A(x) = Sum{n>=0} x^n * A(n*x)^n. 0
1, 1, 2, 7, 37, 279, 2919, 42011, 833314, 22937285, 882905932, 47833330376, 3664667588132, 398332024544864, 61567508987316736, 13553812089298857340, 4254977588443309549759, 1906584878492298737985244, 1220249817955981418494900097 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

EXAMPLE

G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 37*x^4 + 279*x^5 + 2919*x^6 +...

where:

A(x) = 1 + x*A(x) + x^2*A(2*x)^2 + x^3*A(3*x)^3 + x^4*A(4*x)^4 + x^5*A(5*x)^5 +...

PROG

(PARI) {a(n)=local(A=1+x+x*O(x^n)); for(k=1, n, A=1+sum(j=1, n, x^j*subst(A, x, j*x)^j)); polcoeff(A, n)}

CROSSREFS

Sequence in context: A001028 A116481 A102743 * A196916 A182331 A173762

Adjacent sequences:  A195065 A195066 A195067 * A195069 A195070 A195071

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Sep 08 2011

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 July 19 11:12 EDT 2019. Contains 325158 sequences. (Running on oeis4.)