A236455 Number of zero digits in all representations of n in bases 2,3,...,10.

0, 1, 1, 3, 2, 3, 1, 5, 5, 5, 2, 5, 1, 2, 2, 7, 4, 8, 4, 7, 4, 2, 1, 7, 4, 3, 6, 7, 4, 6, 1, 9, 7, 6, 7, 10, 5, 5, 4, 9, 4, 6, 2, 4, 6, 3, 2, 9, 6, 8, 6, 6, 4, 9, 5, 8, 4, 3, 2, 8, 2, 2, 4, 12, 10, 10, 7, 8, 7, 9, 5, 13, 7, 7, 8, 8, 7, 7, 4, 10, 11, 9, 8, 11

Offset

1,4

Comments

Whether exists n>1 for which a(n)=0?

a(n)=1 for 2,3,7,13,23,31,... Is this sequence infinite?

Links

Peter J. C. Moses, Table of n, a(n) for n = 1..1000

Example

n=9 in its representations in bases 2,...,10 has zeros only in bases 2,3,9: 1001,100,10 respectively. The total number of zeros is 5. So a(9)=5.

Mathematica

Map[Length[Select[Flatten[IntegerDigits[#, Range[2, 10]]], #==0&]]&, Range[100] (* Peter J. C. Moses, Jan 26 2014 *)

Crossrefs

Sequence in context: A371172 A324468 A131498 * A033093 A070032 A204915

Adjacent sequences: A236452 A236453 A236454 * A236456 A236457 A236458

Keyword

nonn,base

Author

Vladimir Shevelev, Jan 26 2014

Status

approved