A120342 Sequence of pairs numerator(s(n)), denominator(s(n)) where s(n) is the n-th partial sum of 1/A119752(n).

1, 2, 5, 8, 39, 56, 443, 616, 1783, 2464, 51819, 71456, 4720633, 6502496, 4722257, 6502496, 797359442331, 1097952952096, 878673909876949097, 1209921096197797984, 1351031156635237614515155

Offset

1,2

Comments

There are only 12 terms of A119752 known and s(12) is 0.72622446726779027806723655668104871423264641644675 to 50 decimal places. What is sum(1/A119752(k),k=1..infinity)?

Links

Table of n, a(n) for n=1..21.

Formula

a(2n-1) = numerator(s(n)), a(2n)=denominator(s(n)), where s(n)=sum(1/A119752(k),k=1..n).

Example

a(5)=39, a(6)=56 since s(3)=1/2+1/8+1/14=39/56.

Crossrefs

Cf. A119752, A119754.

Sequence in context: A130378 A323461 A191550 * A214842 A299517 A268660

Adjacent sequences: A120339 A120340 A120341 * A120343 A120344 A120345

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