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Search: id:A121821
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| A121821 |
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Decimal expansion of the Lucas binary number, Sum(k>0, 1/2^L(k)), where L(k) = A000032[k]. |
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+0
1
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| 6, 9, 5, 8, 0, 4, 5, 9, 7, 8, 0, 9, 9, 1, 7, 8, 7, 9, 6, 5, 8, 3, 2, 7, 8, 6, 7, 1, 4, 1, 6, 5, 9, 5, 5, 9, 7, 7, 9, 5, 1, 3, 2, 7, 1, 8, 5, 4, 8, 5, 6, 1, 2, 0, 0, 4, 3, 1, 5, 7, 2, 2, 0, 5, 7, 4, 6, 0, 9, 6, 4, 0, 5, 1, 6, 3, 3, 4, 6, 7, 3, 3, 5, 4, 5, 7, 7, 7, 5, 7, 7, 4, 5, 5, 4, 8, 3, 7, 1, 5, 9, 4, 6, 1, 5
(list; cons; graph; listen)
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OFFSET
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0,1
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COMMENT
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The Lucas binary number C = 0.6958045978099178796583278671... Its binary expansion is equal to 1 if n is Lucas number else 0, RealDigits[ C,2 ] = {1,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,...}.
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MATHEMATICA
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RealDigits[N[Sum[1/2^(Fibonacci[k-1]+Fibonacci[k+1]), {k, 1, 20}], 150]]
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CROSSREFS
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Cf. A000032, A000045, A084119, A010056.
Sequence in context: A069864 A011099 A003562 this_sequence A021859 A126599 A118947
Adjacent sequences: A121818 A121819 A121820 this_sequence A121822 A121823 A121824
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KEYWORD
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cons,nonn
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 26 2006
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