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A248910 Numbers with no zeros in base-6 representation. 7

%I #15 Jan 23 2022 13:35:19

%S 1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,

%T 31,32,33,34,35,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,61,62,63,

%U 64,65,67,68,69,70,71,79,80,81,82,83,85,86,87,88,89,91,92

%N Numbers with no zeros in base-6 representation.

%C Different from A039215, A047253, A184522, A187390, A194386.

%H Reinhard Zumkeller, <a href="/A248910/b248910.txt">Table of n, a(n) for n = 1..10000</a>

%H Wikipedia, <a href="http://www.wikipedia.org/wiki/Senary">Senary</a>

%H <a href="/index/Ar#6-automatic">Index entries for 6-automatic sequences</a>.

%o (Haskell)

%o a248910 n = a248910_list !! (n-1)

%o a248910_list = iterate f 1 where

%o f x = 1 + if r < 5 then x else 6 * f x' where (x', r) = divMod x 6

%o (PARI) isok(m) = vecmin(digits(m, 6)) > 0; \\ _Michel Marcus_, Jan 23 2022

%Y Cf. A007092, A100969 (subsequence).

%Y Zeroless numbers in some other bases <= 10: A000042 (base 2), A032924 (base 3), A023705 (base 4), A255805 (base 8), A255808 (base 9), A052382 (base 10).

%K nonn,base,easy

%O 1,2

%A _Reinhard Zumkeller_, Mar 08 2015

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Last modified April 25 09:38 EDT 2024. Contains 371967 sequences. (Running on oeis4.)