A256299 - OEIS

A256299

Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 0 to the digits of n written in base 9, then convert back to base 10.

%I #5 Mar 23 2015 07:11:36

%S 1,2,3,4,5,6,7,8,0,19,20,21,22,23,24,25,26,18,28,29,30,31,32,33,34,35,

%T 27,37,38,39,40,41,42,43,44,36,46,47,48,49,50,51,52,53,45,55,56,57,58,

%U 59,60,61,62,54,64,65,66,67,68,69

%N Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 0 to the digits of n written in base 9, then convert back to base 10.

%C Base 9 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256298 for bases 3 through 8, and A256289 for the variant where the result is not converted back to base 10.

%e a(9) = 19 because 9 = 10[9] becomes 21[9] = 19.

%e a(80) = 0 because 80 = 88[9] becomes 00[9] = 0.

%o (PARI) A256299(n,b=9)=!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