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Search: id:A129374
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| A129374 |
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G.f. satisfies: A(x) = 1/(1-x) * A(x^2)*A(x^3)*A(x^4)*...*A(x^n)*... |
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+0
3
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| 1, 1, 2, 3, 6, 8, 15, 20, 35, 48, 76, 103, 166, 221, 333, 451, 671, 894, 1303, 1730, 2479, 3288, 4615, 6086, 8502, 11142, 15299, 20034, 27285, 35514, 47937, 62168, 83259, 107650, 142929, 184090, 243207, 312041, 409210, 523709, 683261, 871239, 1130703
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: A(x) = Product_{n>=1} 1/(1 - x^n)^A074206(n) where A074206(n) equals the number of ordered factorizations of n.
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PROGRAM
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(PARI) {a(n)=local(A=1+x); for(i=2, n, A=1/(1-x)*prod(n=2, i, subst(A, x, x^n+x*O(x^i)))); polcoeff(A, n)}
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CROSSREFS
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Cf. A074206; A129373, A129375.
Sequence in context: A095162 A075723 A138137 this_sequence A048809 A047001 A091070
Adjacent sequences: A129371 A129372 A129373 this_sequence A129375 A129376 A129377
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Apr 12 2007
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