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 A236455 Number of zero digits in all representations of n in bases 2,3,...,10. 1

%I #14 Feb 01 2014 09:03:14

%S 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,

%T 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,

%U 7,8,7,9,5,13,7,7,8,8,7,7,4,10,11,9,8,11

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

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

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

%H Peter J. C. Moses, <a href="/A236455/b236455.txt">Table of n, a(n) for n = 1..1000</a>

%e 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.

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

%K nonn,base

%O 1,4

%A _Vladimir Shevelev_, Jan 26 2014

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Last modified June 8 07:26 EDT 2023. Contains 363157 sequences. (Running on oeis4.)