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Search: id:A120343
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| A120343 |
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Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119754(n). |
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+0
1
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| 1, 5, 16, 55, 327, 935, 382, 935, 9721, 21505, 303414, 623645, 14884103, 29311315, 818168774, 1553499695, 49825457361, 91656482005, 4526122187134, 8157426898445, 1035587163377863, 1851735905947015, 243143544972989094
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OFFSET
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1,2
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COMMENT
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There are only 78 terms of A119754 known, and s(78) is 0.58817497337288808165551740612048298329310794973566 to 50 decimal places. What is sum(1/A119754(k),k=1..infinity)?
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FORMULA
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a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119754(k),k=1..n).
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EXAMPLE
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a(5)=327, a(6)=935 since s(3)=1/5+1/11+1/17=327/935.
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CROSSREFS
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Cf. A119752, A119754.
Sequence in context: A041469 A089102 A098912 this_sequence A057553 A006217 A116914
Adjacent sequences: A120340 A120341 A120342 this_sequence A120344 A120345 A120346
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KEYWORD
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nonn
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AUTHOR
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Walter Kehowski (wkehowski(AT)cox.net), Jun 23 2006
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EXTENSIONS
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This is not really a sequence. The standard OEIS convention would be to split this into two cross-referenced sequences with keyword "frac". - njas, Jul 22 2006
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