A371298 E.g.f. satisfies A(x) = 2/(3 - exp(2*x*A(x)^2)).
1, 1, 8, 124, 2928, 93496, 3773536, 184354752, 10580324096, 697840047616, 52018550966784, 4324989984168448, 396842631019350016, 39833949803142014976, 4342129457277000261632, 510808184298890239393792, 64504327889586673547673600, 8703038855093947990994452480
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, 2^(n-k)*(2*n+k)!*stirling(n, k, 2))/(2*n+1)!;
Formula
a(n) = (1/(2*n+1)!) * Sum_{k=0..n} 2^(n-k) * (2*n+k)! * Stirling2(n,k).