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A367166
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E.g.f. satisfies A(x) = 1 + A(x)^3 * (1 - exp(-x*A(x))).
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1
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1, 1, 7, 106, 2493, 79866, 3245591, 159980122, 9275436505, 618568035130, 46649552389515, 3925749706207770, 364709764578733349, 37075283015959294666, 4093764536232959203999, 487906508897555966553370, 62428514041971948893889969, 8535465441907344876112112346
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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(n) = Sum_{k=0..n} (-1)^(n-k) * (n+3*k)!/(n+2*k+1)! * Stirling2(n,k).
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PROG
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(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*(n+3*k)!/(n+2*k+1)!*stirling(n, k, 2));
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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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