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!)
A112483 Expansion of the solution of a functional equation. 0
1, 1, 1, 2, 4, 8, 18, 41, 95, 227, 549, 1344, 3332, 8332, 21000, 53310, 136140, 349536, 901758, 2336356, 6076642, 15860182, 41527148, 109048082, 287119014, 757829438, 2004774538, 5314615208, 14116453336, 37563744952, 100126591704 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..31.

FORMULA

Given g.f. A(x) and B(x) = g.f. of A112482, then B(x)=x+A(x*B(x)).

G.f. A(x)=y satisfies 0=y^3-y^2+(2x-1)y+x.

PROG

(PARI) {a(n)=local(A); if(n<1, 0, A=O(x); for(k=1, n, A=A^3-A^2+2*x*A+x); polcoeff(A, n))}

CROSSREFS

Sequence in context: A019231 A333865 A274547 * A151381 A306200 A057151

Adjacent sequences:  A112480 A112481 A112482 * A112484 A112485 A112486

KEYWORD

nonn

AUTHOR

Michael Somos, Sep 08 2005

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 June 21 19:12 EDT 2021. Contains 345365 sequences. (Running on oeis4.)