A382778 Decimal expansion of 6*log(3)/(3*log(3) - 3).

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

Offset

2,1

Comments

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

Links

Table of n, a(n) for n=2..101.

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.

Example

22.2814479514943215603962067415858532334689249078...

Mathematica

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

Crossrefs

Cf. A002391, A016650, A382497, A383822, A383824.

Sequence in context: A121258 A087421 A309574 * A132697 A160689 A179976

Adjacent sequences: A382775 A382776 A382777 * A382779 A382780 A382781

Keyword

nonn,cons

Author

Stefano Spezia, May 11 2025

Status

approved