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Search: id:A094541
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| A094541 |
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Numerator of prod(k=0,n,{(2k+1)/(2k+2)}^{(-1)^t(k)}) where t(k)=A010060(k) (Thue-Morse sequence). |
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+0
2
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| 1, 2, 4, 7, 7, 77, 143, 286, 572, 2717, 1729, 6916, 266, 7448, 74480, 144305, 144305, 5050675, 9835525, 49177625, 288040375, 576080750, 230432300, 2707579525, 5306855869, 5306855869, 5306855869, 41696724685, 41696724685, 492021351283
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J.-P. allouche and J. Shallit, Automatic sequences, Cambridge, pp. 153, 207
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FORMULA
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prod(k>=0, {(2k+1)/(2k+2)}^{(-1)^t(k)}) = 1/sqrt(2)
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PROGRAM
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(PARI) a(n)=numerator(prod(k=0, n, ((2*k+1)/(2*k+2))^((-1)^(subst(Pol(binary(k)), x, 1)%2))))
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CROSSREFS
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Cf. A094542.
Sequence in context: A025087 A010759 A063034 this_sequence A092577 A009282 A141745
Adjacent sequences: A094538 A094539 A094540 this_sequence A094542 A094543 A094544
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KEYWORD
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frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 08 2004
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