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A120343 Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119754(n). 0

%I #5 Mar 30 2012 18:36:04

%S 1,5,16,55,327,935,382,935,9721,21505,303414,623645,14884103,29311315,

%T 818168774,1553499695,49825457361,91656482005,4526122187134,

%U 8157426898445,1035587163377863,1851735905947015,243143544972989094

%N Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119754(n).

%C 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)?

%F a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119754(k),k=1..n).

%e a(5)=327, a(6)=935 since s(3)=1/5+1/11+1/17=327/935.

%Y Cf. A119752, A119754.

%K nonn

%O 1,2

%A _Walter Kehowski_, Jun 23 2006

%E This is not really a sequence. The standard OEIS convention would be to split this into two cross-referenced sequences with keyword "frac". - _N. J. A. Sloane_, Jul 22 2006

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Last modified April 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)