A364735 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^2).
1, 1, 0, -2, -1, 8, 10, -37, -84, 168, 660, -624, -4950, 583, 35464, 23166, -240513, -359008, 1511640, 3898100, -8387664, -36522256, 35444728, 311764768, -25659766, -2466384737, -1793133360, 18077558170, 28951038285, -120750295320, -330486900870
Offset: 0
Keywords
Programs
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PARI
a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+k, n-1-k))/n);
Formula
a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+k,n-1-k) for n > 0.