A372766 Decimal expansion of Sum_{k >= 1} floor(k*log_10(2))/2^k.

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

Offset: 0

Author

Paolo Xausa, May 12 2024

Keywords

• nonn
• cons

Examples

			0.14271749755620723362658846529824142150133752640380518206878...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..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. A007524, A372610, A372767.

Programs

Mathematica

First[RealDigits[Sum[Floor[k*Log10[2]]/2^k, {k, 350}], 10, 100]]

Formula

Approximately 146/1023, correct to 30 digits: see Example 4.1 (d) in Borwein and Borwein (1992), p. 633.