A385853 Decimal expansion of log_10(1 + 1/4).

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

Offset

-1,1

Comments

Probability that 4 occurs as the first significant digit in data collections according to Benford's law (see A007524).

Links

Table of n, a(n) for n=-1..85.

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

Wikipedia, Benford's law.

Formula

Equals 1-A153790. - Hugo Pfoertner, Jul 10 2025

Example

0.096910013008056414358783315826...

Mathematica

RealDigits[Log[10, 5/4], 10, 90][[1]]

Crossrefs

Cf. Benford's law for digit: A007524 (1), A104140 (9), A154203 (5), A154580 (2), A385659 (3), A385854 (6), A385855 (7).

Sequence in context: A336085 A363539 A086279 * A155533 A083281 A019711

Adjacent sequences: A385850 A385851 A385852 * A385854 A385855 A385856

Keyword

nonn,cons,easy

Author

Marco Ripà, Jul 10 2025

Status

approved