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A367487
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Expansion of e.g.f. 1/(4 - 3*exp(x))^(x/2).
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1
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1, 0, 3, 18, 195, 2730, 47745, 1001742, 24523401, 686190258, 21601161015, 755533274826, 29066119327179, 1219715093642838, 55441103383640793, 2713468284508412430, 142269924567096468177, 7955396173559375208426, 472576083221524737100311
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0) = 1; a(n) = (1/2) * Sum_{k=1..n} A367490(k) * binomial(n-1,k-1) * a(n-k).
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PROG
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(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*sum(k=1, j-1, 3^k*(k-1)!*stirling(j-1, k, 2))*binomial(i-1, j-1)*v[i-j+1])/2); v;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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