A372767 Decimal expansion of Sum_{k >= 1} floor(k*zeta(3))/2^k.

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

Offset: 1

Author

Paolo Xausa, May 12 2024

Keywords

• nonn
• cons

Examples

			2.0645161290322580645161290322596931321914240243724629234896...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• J. M. Borwein and P. B. Borwein, Strange Series and High Precision Fraud, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640.

Crossrefs

Cf. A000079, A002117, A059537, A372610, A372766.

Programs

Mathematica

First[RealDigits[Sum[Floor[k*Zeta[3]]/2^k, {k, 350}], 10, 100]]

Formula

Equals Sum_{k >= 1} A059537(k)/A000079(k).

Approximately 64/31, correct to 30 digits: see Example 4.1 in Borwein and Borwein (1992), p. 634.