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Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 0 to the digits of n written in base 9; do not convert back to base 10.
8

%I #4 Mar 23 2015 07:11:52

%S 1,2,3,4,5,6,7,8,0,21,22,23,24,25,26,27,28,20,31,32,33,34,35,36,37,38,

%T 30,41,42,43,44,45,46,47,48,40,51,52,53,54,55,56,57,58,50,61,62,63,64,

%U 65,66,67,68,60,71,72,73,74,75,76

%N Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 0 to the digits of n written in base 9; do not convert back to base 10.

%C Base 9 variant of A256078 (base 2) and A048379 (base 10). See A256303 - A256308 for bases 3 through 8, and A256299 for the variant where the result is converted back to base 10.

%e a(9) = 21 because 9 = "10" in base 9 becomes "21".

%e a(80) = 0 because 80 = "88" in base 9 becomes "00".

%o (PARI) A256289(n,b=9)=!n+eval(Strchr(apply(d->(d+1)%b+48, digits(n,b))))

%K nonn,base,easy

%O 0,2

%A _M. F. Hasler_, Mar 22 2015