A000195 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A000195

a(n) = floor(log(n)).

0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,8

COMMENTS

Equals A004233(n) - 1 for n > 1.

Does not satisfy Benford's law [Whyman et al., 2016] - N. J. A. Sloane, Feb 12 2017

LINKS

T. D. Noe, Table of n, a(n) for n=1..10000

G. Whyman, N. Ohtori, E. Shulzinger, and Ed. Bormashenko, Revisiting the Benford law: When the Benford-like distribution of leading digits in sets of numerical data is expectable?, Physica A: Statistical Mechanics and its Applications, 461, 595-601 (2016).

Index entries for sequences related to Benford's law

FORMULA

Conjecture: a(n) = floor(3*n^2*(n^(1/(3*n^2))-1)), checked for n <= 10^6. - Joseph M. Shunia, Aug 02 2024

MAPLE

Digits := 100; f := n->floor(evalf(log(n))); [ seq(f(n), n=1..100) ];

MATHEMATICA

Floor@ Log@ Range@ 105 (* Michael De Vlieger, Aug 21 2017 *)

PROG

(PARI) a(n)=floor(log(n))

(Haskell)

a000195 = floor . log . fromIntegral -- Reinhard Zumkeller, Mar 17 2015

CROSSREFS

Cf. A000193 (nearest integer to log(n)), A004233.

Cf. A000523.

Sequence in context: A137325 A180258 A211663 * A135663 A090620 A151659

Adjacent sequences: A000192 A000193 A000194 * A000196 A000197 A000198

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.