A055440 Distribution of first digit of mantissa following Benford's law, using d'Hondt method.

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

Offset

1,2

Comments

This is the subsequence of terms less than 10 in A395154.

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..10000

J. Connelly, Glossary of voting terms.

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

Wikipedia, D'Hondt method.

Index entries for sequences related to Benford's law.

Formula

Positions of k are given by n_k(m) = Sum_{j=1..9} floor(m*log(1+1/j)/log(1+1/k)), m >= 1. - Pontus von Brömssen, Apr 21 2026

Example

a(50)=1 so that after 50 terms we have had 16 1's, 9 2's, 6 3's, 5 4's, 4 5's, 3 6's, 3 7's, 2 8's and 2 9's

Crossrefs

Cf. A055439, A055441, A055442, A395154.

Sequence in context: A260739 A130747 A370822 * A395154 A250028 A101279

Adjacent sequences: A055437 A055438 A055439 * A055441 A055442 A055443

Keyword

nonn,base

Author

Henry Bottomley, May 17 2000

Status

approved