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Search: id:A101918
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| A101918 |
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G.f. satisfies: A(x) = 1/(1 + x*A(x^8)) and also the continued fraction: 1+x*A(x^9) = [1;1/x,1/x^8,1/x^64,1/x^512,...,1/x^(8^(n-1)),...]. |
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+0
7
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| 1, -1, 1, -1, 1, -1, 1, -1, 1, 0, -1, 2, -3, 4, -5, 6, -7, 7, -6, 4, -1, -3, 8, -14, 21, -28, 34, -38, 39, -36, 28, -14, -7, 35, -69, 107, -146, 182, -210, 224, -217, 182, -113, 6, 140, -322, 532, -756, 973, -1155, 1268, -1274, 1134, -812, 280, 476, -1449, 2604, -3872, 5146, -6280, 7092, -7372, 6896, -5447, 2843, 1029
(list; graph; listen)
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OFFSET
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0,12
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FORMULA
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G.f.: (1+x^7) / (1+x+x^8) (conjectured). - Ralf Stephan, May 17 2007
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PROGRAM
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(PARI) {a(n)=local(A); A=1-x; for(i=1, n\8+1, A=1/(1+x*subst(A, x, x^8)+x*O(x^n))); polcoeff(A, n, x)} (PARI) {a(n)=local(M=contfracpnqn(concat(1, vector(ceil(log(n+1)/log(8))+1, n, 1/x^(8^(n-1)))))); polcoeff(M[1, 1]/M[2, 1]+x*O(x^(9*n+1)), 9*n+1)}
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CROSSREFS
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Cf. A101912-A101917.
Adjacent sequences: A101915 A101916 A101917 this_sequence A101919 A101920 A101921
Sequence in context: A066853 A141258 A117656 this_sequence A132125 A102672 A114955
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 20 2004
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