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

1,1

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.

6*10^11 < a(794) <= A144812(284). - Pontus von Brömssen, Aug 19 2023

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..793

Prog

(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

Crossrefs

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

Sequence in context: A190383 A051393 A233914 * A144812 A057881 A206051

Adjacent sequences: A144798 A144799 A144800 * A144802 A144803 A144804

Keyword

base,nonn

Author

Reikku Kulon, Sep 21 2008

Extensions

Accidentally omitted terms added by Reikku Kulon, Sep 24 2008

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

Status

approved