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Search: id:A094542
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| A094542 |
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Denominator 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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| 2, 3, 5, 10, 9, 108, 216, 405, 765, 3825, 2550, 9775, 391, 10557, 102051, 204102, 198099, 7131564, 14263128, 69532749, 417196494, 815429511, 319081113, 3828973356, 7657946712, 7510678506, 7371591867, 58972734936, 57955963644
(list; graph; listen)
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OFFSET
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0,1
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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)=denominator(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. A094541.
Adjacent sequences: A094539 A094540 A094541 this_sequence A094543 A094544 A094545
Sequence in context: A129500 A109204 A038807 this_sequence A076681 A047604 A104427
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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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