A144801 Integers having ideal digital mean up to base 6.

36990, 37230, 38670, 43350, 45390, 14492490, 14496810, 14512170, 14578050, 14579970, 14630970, 14655810, 14663730, 14685690, 14733810, 14741790, 14753010, 14758350, 14761350, 14779230, 14779710, 14780310, 14784090, 14801490, 14807190, 14807430, 14818650

Offset: 1

Author

Reikku Kulon, Sep 21 2008

Keywords

• base
• nonn

Comments

Subset of A031443, A144798, A144799 and A144800.

These numbers have digital mean dm(b, n) = (Sum_{i=1..d} 2*d_i - (b-1)) / (2*d) = 0, where d is the number of digits in the base b representation of n and d_i the individual digits, for 2 <= b <= 6.

Links

• Jason Yuen, Table of n, a(n) for n = 1..10000 (first 793 terms from Pontus von Brömssen)

Crossrefs

Cf. A007953, A008591, A031443, A144777, A144798, A144799, A144800, A144812, A364714.

Programs

PARI

is(k,b) = my(d=digits(k,b)); vecsum(d)/#d == (b-1)/2;
isok(k) = is(k,2) && is(k,3) && is(k,4) && is(k,5) && is(k,6); \\ Michel Marcus, Aug 03 2023

Extensions

Accidentally omitted terms added by Reikku Kulon, Sep 24 2008

a(24)-a(27) from Pontus von Brömssen, Aug 02 2023