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A094558 G.f. satisfies A(x) = F(x*A(x)), where F(x) is the g.f. of A094557. 2

%I #9 Apr 18 2013 00:26:44

%S 1,1,3,10,42,180,825,3874,18761,92524,464208,2359120,12125196,

%T 62902786,328981007,1732617254,9181203778,48915412966,261868866141,

%U 1407973076658,7599615217348,41163832991048,223681001166586,1219021518421518

%N G.f. satisfies A(x) = F(x*A(x)), where F(x) is the g.f. of A094557.

%F a(n) = A094557(2*n)/(n+1).

%F 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

%e G.f.: A(x) = 1 + x + 3*x^2 + 10*x^3 + 42*x^4 + 180*x^5 + 825*x^6 +...

%Y Cf. A094557, A094601.

%K nonn

%O 0,3

%A _Paul D. Hanna_, May 11 2004

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Last modified February 25 19:44 EST 2024. Contains 370332 sequences. (Running on oeis4.)