A383824 Decimal expansion of 12*log(2)/(6*log(2) - 3).

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

Offset: 1

Author

Stefano Spezia, May 11 2025

Keywords

• nonn
• cons

Comments

Upper bound for the irrationality measure of 2-adic analog of zeta(3) (see Lai et al., 2025 at p. 3).

Examples

			7.177398899124179661610768863884179976261011824...
		

Links

• Li Lai, Johannes Sprang, and Wadim Zudilin, A note on the irrationality of zeta_2(5), arXiv:2505.05005 [math.NT], 2025.
• Eric Weisstein's World of Mathematics, Irrationality Measure.
• Wikipedia, Irrationality measure.

Crossrefs

Cf. A002162, A016687, A382497, A382778, A383822.

Programs

Mathematica

RealDigits[12Log[2]/(6Log[2]-3),10,100][[1]]