A354857 Decimal expansion of Sum_{k,m>=1} (-1)^(k+m+1)/floor(sqrt(k+m))^3.

6, 1, 4, 0, 7, 1, 5, 3, 6, 6, 1, 4, 3, 6, 2, 8, 1, 3, 6, 0, 3, 6, 3, 6, 0, 8, 3, 6, 4, 7, 6, 0, 1, 6, 6, 9, 6, 1, 1, 2, 3, 5, 3, 6, 5, 7, 0, 8, 2, 8, 0, 3, 1, 1, 6, 4, 4, 2, 5, 5, 4, 5, 7, 6, 7, 2, 0, 1, 8, 7, 0, 2, 8, 3, 1, 5, 6, 0, 3, 3, 4, 8, 8, 2, 8, 3, 5, 8, 7, 2, 0, 9, 9, 2, 9, 6, 5, 9, 6, 5, 8, 4, 3, 5, 4

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Ovidiu Furdui, Problem 1849, Mathematics Magazine, Vol. 83, No. 3 (2010), p. 227; An alternating double series, Solution to Problem 1849 by Omran Kouba, ibid., Vol. 84, No. 3 (2010), pp. 234-235.

Formula

Equals Pi^2/12 + log(2) - 3*zeta(3)/4.

Example

0.61407153661436281360363608364760166961123536570828...

Mathematica

RealDigits[Pi^2/12 + Log[2] - 3*Zeta[3]/4, 10, 100][[1]]

Crossrefs

Cf. A002117, A002162, A072691, A197070.

Sequence in context: A229606 A101023 A195303 * A371348 A358981 A160199

Adjacent sequences: A354854 A354855 A354856 * A354858 A354859 A354860

Keyword

nonn,cons

Author

Amiram Eldar, Jun 09 2022

Status

approved