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Search: id:A120975
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| A120975 |
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G.f. satisfies: A(x) = 1 + x*A(x)^4*[A(x*A(x)^4)]^4. |
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+0
5
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| 1, 1, 8, 108, 1888, 38798, 894308, 22517256, 609112756, 17507219813, 530495478900, 16850219461706, 558608940038072, 19263089278722726, 689119527976265884, 25519081467271687938, 976447764170903902364
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OFFSET
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0,3
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FORMULA
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G.f. A(x) satisfies: A(x) = G(G(x)-1), A(G(x)-1) = G(A(x)-1), A(x) = G(x*A(x)^4), and A(x/G(x)^4) = G(x), where G(x) is the g.f. of A120974 and satisfies G(x/G(x)^4) = 1 + x.
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PROGRAM
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(PARI) {a(n)=local(A, G=[1, 1]); for(i=1, n, G=concat(G, 0); G[ #G]=-Vec(subst(Ser(G), x, x/Ser(G)^4))[ #G]); A=Vec(((Ser(G)-1)/x)^(1/4)); A[n+1]}
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CROSSREFS
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Cf. A120974; variants: A120971, A120973, A120977.
Sequence in context: A099762 A119936 A048543 this_sequence A099699 A084915 A138456
Adjacent sequences: A120972 A120973 A120974 this_sequence A120976 A120977 A120978
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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), Jul 20 2006
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