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Search: id:A115600
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| A115600 |
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a(n) = numerator of b(n), where b(1) = 1, b(n+1) = sum{k=1 to n} b(k)^((-1)^(n-k)). |
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4
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| 1, 1, 2, 4, 13, 43, 905, 15790, 92494147, 47283340087, 8845558976879378539, 2707131569835749037213946965347, 2980435288285565929467276114849756995199455683357
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Next term has 80 digits and is too long to be shown. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006
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EXAMPLE
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{b(n)} begins 1, 1, 2, 4, 13/2, 43/4,...
So b(7) = 1 + 1 + 1/2 + 4 + 2/13 + 43/4 = 905/52, and therefore a(7) = 905.
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MAPLE
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b[1]:=1: for n from 1 to 14 do b[n+1]:=sum(b[k]^((-1)^(n-k)), k=1..n) od: seq(numer(b[n]), n=1..14); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006
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CROSSREFS
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Cf. A115587, A115601, A115602.
Sequence in context: A050624 A135501 A001548 this_sequence A007858 A005164 A058134
Adjacent sequences: A115597 A115598 A115599 this_sequence A115601 A115602 A115603
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KEYWORD
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frac,nonn
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Mar 13 2006
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 30 2006
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