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A032941 Numbers whose base-6 representation Sum_{i=0..m} d(i)*6^(m-i) has d(i)=0 for all odd i. 1

%I #20 Feb 12 2021 21:40:13

%S 1,2,3,4,5,6,12,18,24,30,36,37,38,39,40,41,72,73,74,75,76,77,108,109,

%T 110,111,112,113,144,145,146,147,148,149,180,181,182,183,184,185,216,

%U 222,228,234,240,246,432,438,444,450,456,462

%N Numbers whose base-6 representation Sum_{i=0..m} d(i)*6^(m-i) has d(i)=0 for all odd i.

%H Harvey P. Dale, <a href="/A032941/b032941.txt">Table of n, a(n) for n = 1..1000</a>

%p f:= proc(n, j) local L, m;

%p L:= convert(n, base, 6);

%p m:= nops(L);

%p j*add(L[i+1]*6^(2*i), i=0..m-1)

%p end proc: seq(seq(seq(f(n, j), n=6^k..6^(k+1)-1), j=[1, 6]), k=0..2);# _Robert Israel_, Nov 16 2020

%t Join[{1,2,3,4,5},Select[Range[500],Union[Take[IntegerDigits[#,6],{2,-1,2}]]=={0}&]] (* _Harvey P. Dale_, Jul 06 2019 *)

%Y Cf. A007092 (numbers in base 6).

%K nonn,base

%O 1,2

%A _Clark Kimberling_

%E Definition corrected by _Robert Israel_, Nov 16 2020

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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)