A256297 - OEIS

A256297

Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 0 to the digits of n written in base 7, then convert back to base 10.

%I #4 Mar 23 2015 07:14:22

%S 1,2,3,4,5,6,0,15,16,17,18,19,20,14,22,23,24,25,26,27,21,29,30,31,32,

%T 33,34,28,36,37,38,39,40,41,35,43,44,45,46,47,48,42,1,2,3,4,5,6,0,106,

%U 107,108,109,110,111,105,113,114,115,116

%N Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 0 to the digits of n written in base 7, then convert back to base 10.

%C Base 7 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256299 for bases 3 through 9, and A256307 for the variant where the result is not converted back to base 10.

%e a(7) = 15 because 7 = 10[7] becomes 21[7] = 15.

%e a(48) = 0 because 48 = 66[7] becomes 00[7] = 0.

%o (PARI) A256297(n,b=7)=!n+apply(t->(t+1)%b,n=digits(n,b))*vector(#n,i,b^(#n-i))~

%K nonn,base,easy

%O 0,2

%A _M. F. Hasler_, Mar 22 2015