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 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 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

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