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Search: id:A076157
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| A076157 |
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Continued fraction expansion for c=sum(k>=0,1/2^k!). |
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+0
4
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| 1, 3, 1, 3, 4, 4095, 1, 3, 3, 1, 3, 4722366482869645213695, 1, 2, 1, 3, 3, 1, 4095, 4, 3, 1, 3, 31217485503159922313815972297931663057485981426649711508591569596253717388197656\ 20120306103063491971159826931121406622895447975679288285306290175
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OFFSET
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1,2
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COMMENT
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Observation : if b(k) denotes the sequence of all elements of the continued fraction for c, b(k)=4095 if k==6 or 19 (mod 24); b(k)=4722366482869645213695 if k==12 or 37 (mod 48) ...If b(k) is not congruent to 5, it seems that b(k)=1,2,3 or 4 only.
Conjecture: a(3*2^n) = -1 + 2^[(n-1)n! ]. - Ralf Stephan (ralf(AT)ark.in-berlin.de), May 17 2005
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FORMULA
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c=1.2656250596046447753906250000000000007...
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CROSSREFS
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Cf. A076152, A076154, A076187.
Cf. A007400, A004200, A006466.
Sequence in context: A008924 A021323 A147549 this_sequence A087493 A118125 A143732
Adjacent sequences: A076154 A076155 A076156 this_sequence A076158 A076159 A076160
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KEYWORD
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cofr,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 02 2002
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EXTENSIONS
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More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), May 17 2005
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