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Search: id:A097089
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| A097089 |
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Exponents of 2 that form the denominators of coefficients in function A(x) such that A(A(x)) = x+x^2. |
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+0
2
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| 0, 0, 1, 2, 2, 4, 6, 4, 8, 7, 11, 12, 13, 13, 14, 15, 18, 18, 20, 22, 23, 24, 26, 26, 25, 26, 30, 31, 33, 32, 34, 33, 38, 38, 39, 39, 42, 44, 46, 46, 46, 48, 51, 52, 53, 53, 55, 55, 56, 55, 59, 61, 62, 63, 65, 66, 68, 68, 70, 71, 73
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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A097088 lists the reduced numerators.
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FORMULA
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G.f.: A(x) = Sum_{n>=0} A097088(n)/2^a(n) where A(A(x)) = x + x^2.
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PROGRAM
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(PARI) {a(n)=local(A, B, F=x+x^2+x*O(x^n)); A=F; if(n==0, 0, for(i=0, n, B=serreverse(A); A=(A+subst(B, x, F))/2); valuation(denominator(polcoeff(A, n, x)), 2))}
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CROSSREFS
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Cf. A097088.
Sequence in context: A050469 A085730 A089002 this_sequence A096466 A088965 A059474
Adjacent sequences: A097086 A097087 A097088 this_sequence A097090 A097091 A097092
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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 23 2004
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