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A118926 Invariant column vector V under matrix product A104546*V = V: a(n) = Sum_{k=0,[n/2]} A104546(n,k)*a(k). 1

%I #3 Mar 30 2012 18:36:57

%S 1,2,7,28,125,598,3007,15708,84585,466954,2632167,15103676,88012801,

%T 519848442,3107443803,18774545752,114527169657,704731976138,

%U 4370943547471,27306560735812,171728169545661,1086605771091766

%N Invariant column vector V under matrix product A104546*V = V: a(n) = Sum_{k=0,[n/2]} A104546(n,k)*a(k).

%C Triangle A104546(n,k) = the number of Schroeder paths of length 2n and having k platforms.

%F Self-convolution of A118927.

%o (PARI) {a(n)=local(G=1+x+x*O(x^n));if(n==0,1, for(i=0,n,G=1+x*G+x*G*(G+(y-1)*x/(1-x))); sum(k=0,n\2,a(k)*polcoeff(polcoeff(G+y*O(y^k),n,x),k,y)))}

%Y Cf. A104546, A118927 (self-convolution square-root).

%K nonn

%O 0,2

%A _Paul D. Hanna_, May 06 2006

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)