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 A196192 G.f. satisfies A(x) = 1/Product_{n>=1} (1 - x^n*A(x^n)^2). 5
 1, 1, 4, 16, 77, 389, 2128, 12019, 70185, 418788, 2544938, 15687842, 97871618, 616729500, 3919686231, 25096525793, 161723865118, 1048085548563, 6826585371618, 44664343473618, 293407529533947, 1934484748893113, 12796683165889635, 84906535878961845 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..23. EXAMPLE G.f.: A(x) = 1 + x + 4*x^2 + 16*x^3 + 77*x^4 + 389*x^5 + 2128*x^6 +... where A(x) = 1/((1 - x*A(x)^2) * (1 - x^2*A(x^2)^2) * (1 - x^3*A(x^3)^2) *...). PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1/prod(k=1, n, (1-x^k*subst(A, x, x^k+x*O(x^n))^2))); polcoeff(A, n)} CROSSREFS Cf. A050383, A196191. Sequence in context: A049426 A345889 A057725 * A364474 A159926 A020051 Adjacent sequences: A196189 A196190 A196191 * A196193 A196194 A196195 KEYWORD nonn AUTHOR Paul D. Hanna, Sep 28 2011 STATUS approved

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Last modified October 2 23:30 EDT 2023. Contains 365841 sequences. (Running on oeis4.)