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Search: id:A080095
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| A080095 |
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Let sum(k>=0, k^n/(2*k+1)!) = (x(n)*e + y(n)/e)/z(n), where x(n) and z(n) are >0, then a(n)=z(n). |
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+0
3
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| 2, 8, 16, 16, 64, 128, 128, 512, 1024, 1024, 4096, 8192, 8192, 32768, 65536, 65536, 262144, 524288, 524288, 2097152, 4194304, 4194304, 16777216, 33554432, 33554432, 134217728, 268435456, 268435456, 1073741824, 2147483648
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OFFSET
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1,1
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FORMULA
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a(n) = 2^b(n) and {b(n)}={1, 3, 4, 4, 6, 7, 7, 9, 10, 10, 12, 13, 13, 15, ..} where b(3n-2)=3n-2, b(3n-1)=3n, b(3n)=b(3n+1)=3n+1, for n>0.
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CROSSREFS
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Cf. A080093, A080094.
Sequence in context: A167592 A094513 A110004 this_sequence A155853 A031061 A125259
Adjacent sequences: A080092 A080093 A080094 this_sequence A080096 A080097 A080098
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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) and Paul D. Hanna (pauldhanna(AT)juno.com), Jan 28 2003
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