

A236455


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


1



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
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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: A220128 A324468 A131498 * A033093 A070032 A204915
Adjacent sequences: A236452 A236453 A236454 * A236456 A236457 A236458


KEYWORD

nonn,base


AUTHOR

Vladimir Shevelev, Jan 26 2014


STATUS

approved



