A383822 Decimal expansion of 16*log(2)/(8*log(2) - 5).

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

Offset: 2

Author

Stefano Spezia, May 11 2025

Keywords

• nonn
• cons

Comments

Upper bound for the irrationality measure of 2-adic analog of zeta(5) (see Lai et al., 2025 at p. 2).

Examples

			20.342651738914481810120384439406902845944920276...
		

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, A013663, A257872, A382497, A382778, A383824.

Programs

Mathematica

RealDigits[16Log[2]/(8Log[2]-5),10,100][[1]]