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 A094558 G.f. satisfies A(x) = F(x*A(x)), where F(x) is the g.f. of A094557. 2
 1, 1, 3, 10, 42, 180, 825, 3874, 18761, 92524, 464208, 2359120, 12125196, 62902786, 328981007, 1732617254, 9181203778, 48915412966, 261868866141, 1407973076658, 7599615217348, 41163832991048, 223681001166586, 1219021518421518 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..23. FORMULA a(n) = A094557(2*n)/(n+1). G.f. satisfies: A(x) = A(y) + x*A(x)*A(y)^2 + x^2*A(x)^2*A'(y) + x^3*A(x)^3*A(y)*A'(y) where y = x^2*A(x)^2. - Paul D. Hanna, Apr 17 2013 EXAMPLE G.f.: A(x) = 1 + x + 3*x^2 + 10*x^3 + 42*x^4 + 180*x^5 + 825*x^6 +... CROSSREFS Cf. A094557, A094601. Sequence in context: A214835 A149059 A129878 * A074511 A000249 A107594 Adjacent sequences: A094555 A094556 A094557 * A094559 A094560 A094561 KEYWORD nonn AUTHOR Paul D. Hanna, May 11 2004 STATUS approved

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Last modified November 29 17:22 EST 2023. Contains 367445 sequences. (Running on oeis4.)