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Search: id:A073096
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| A073096 |
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Maximal element in continued fraction for s(n) = sum( k>=n,1/2^(2^k) ). |
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1
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| 6, 6, 18, 258, 65538, 4294967298, 18446744073709551618, 340282366920938463463374607431768211458, 115792089237316195423570985008687907853269984665640564039457584007913129639938
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OFFSET
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0,1
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FORMULA
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a(0)=6; for n>0 a(n)=2^(2^n)+2.
a(n) = A063486(n)-3 for n>0. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 22 2007
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EXAMPLE
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Continued fraction expansion of 1/2^(2^5)+1/2^(2^6)+1/2^(2^7)+...is [0, 4294967295, 4294967298, 4294967296, 4294967296,... ] where the maximum element is 4294967298, hence a(5)=4294967298
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CROSSREFS
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Cf. A007400 for case n=0.
Sequence in context: A000976 A161787 A092297 this_sequence A045896 A115046 A004983
Adjacent sequences: A073093 A073094 A073095 this_sequence A073097 A073098 A073099
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 18 2002
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