A120343 - OEIS

A120343

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

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

1,2

COMMENTS

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)?

LINKS

Table of n, a(n) for n=1..23.

FORMULA

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

EXAMPLE

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

CROSSREFS

Cf. A119752, A119754.

Sequence in context: A299685 A363449 A268225 * A301280 A153366 A057553

Adjacent sequences: A120340 A120341 A120342 * A120344 A120345 A120346

KEYWORD

nonn

AUTHOR

Walter Kehowski, Jun 23 2006

EXTENSIONS

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

STATUS

approved