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 A277296 Column 2 of triangle A277295; a(n) = A277295(n+2,2). 4

%I #9 Oct 11 2016 18:42:30

%S 0,5,76,698,5088,32461,189940,1046190,5511440,28061890,139089880,

%T 674600980,3213923072,15084364221,69904629316,320443984742,

%U 1455102018480,6553035703798,29296998868904,130133568013164,574698326054848,2524813186117010,11040163152179976,48069234287414668,208481908639356448,900995206054983396,3881108155492099760

%N Column 2 of triangle A277295; a(n) = A277295(n+2,2).

%C G.f. G(x,y) of triangle A277295 satisfies:

%C (1) G(x,y) = x + G( y*G(x,y) + (1-y)*x, y)^2.

%C (2) G( x - y*G(x,y)^2, y) = x + (1-y)*G(x,y)^2.

%o (PARI) {A277295(n,k) = my(A=x); for(i=1, n, A = x + subst(A^2, x, y*A + (1-y)*x +x*O(x^n)) ); polcoeff(polcoeff(A,n,x),k,y)}

%o for(n=1,30,print1(A277295(n+2,2),", "))

%Y Cf. A277295, A277297, A277298, A277299.

%K nonn

%O 1,2

%A _Paul D. Hanna_, Oct 11 2016

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