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A194787
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E.g.f. A(x) = G(x)^G(x) where G(x) = 1 + x*G(x)^G(x) is the e.g.f. of A194786.
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0
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1, 1, 4, 27, 272, 3630, 60714, 1221864, 28779120, 776965680, 23662145160, 802640076480, 30014281406856, 1226796674341056, 54417859649294400, 2603641529587553280, 133660822187138916480, 7328549084322230968320, 427437378614564995967424
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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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EXAMPLE
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E.g.f.: A(x) = 1 + x + 4*x^2/2! + 27*x^3/3! + 272*x^4/4! + 3630*x^5/5! +...
where A(x) = G(x)^G(x) and G(x) is the e.g.f. of A194786:
G(x) = 1 + x + 2*x^2/2! + 12*x^3/3! + 108*x^4/4! + 1360*x^5/5! +...
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PROG
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(PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+x*(A+x*O(x^n))^A); n!*polcoeff(A^A, n)}
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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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