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A129375
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E.g.f. satisfies: A(x) = exp(x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*...
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2
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1, 1, 3, 13, 97, 621, 6571, 58633, 779073, 9317017, 138628531, 1977676581, 37384244833, 620735382853, 12434855135067, 245117537189281, 5651550278494081, 123266430844431153, 3128700944169196003
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| E.g.f.: A(x) = exp( Sum_{n>=1} A074206(n)*x^n ) where A074206(n) equals the number of ordered factorizations of n.
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PROG
| (PARI) {a(n)=local(A=1+x); for(i=2, n, A=exp(x+x*O(x^n))*prod(n=2, i, subst(A, x, x^n+x*O(x^i)))); polcoeff(A, n)}
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CROSSREFS
| Cf. A074206; A129373, A129374.
Sequence in context: A098462 A183283 A006898 * A085023 A144276 A083770
Adjacent sequences: A129372 A129373 A129374 * A129376 A129377 A129378
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Apr 12 2007
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