A385659 Decimal expansion of log_10(1 + 1/3).

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

Offset

0,2

Comments

Probability that 3 occurs as the first significant digit in data collections according to Benford's law (see A007524).

Links

Table of n, a(n) for n=0..86.

Eric Weisstein's World of Mathematics, Benford's Law.

Wikipedia, Benford's law.

Formula

Equals A114493 - A114490. - R. J. Mathar, Jul 13 2025

Example

0.12493873660829995313244988619...

Mathematica

RealDigits[Log[10, 4/3], 10, 90][[1]]

Crossrefs

Benford's law for digit: A007524 (1), A104140 (9), A154203 (5), A154580 (2).

Sequence in context: A081344 A227272 A021405 * A201946 A341352 A395679

Adjacent sequences: A385656 A385657 A385658 * A385660 A385661 A385662

Keyword

nonn,cons,easy

Author

Marco Ripà, Jul 06 2025

Extensions

a(16) to a(86) corrected by Marco Ripà, Jul 12 2025

Status

approved