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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.
8
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, 27, 37, 38, 39, 40, 41, 42, 43, 44, 36, 46, 47, 48, 49, 50, 51, 52, 53, 45, 55, 56, 57, 58, 59, 60, 61, 62, 54, 64, 65, 66, 67, 68, 69
OFFSET
0,2
COMMENTS
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.
EXAMPLE
a(9) = 19 because 9 = 10[9] becomes 21[9] = 19.
a(80) = 0 because 80 = 88[9] becomes 00[9] = 0.
PROG
(PARI) A256299(n, b=9)=!n+apply(t->(t+1)%b, n=digits(n, b))*vector(#n, i, b^(#n-i))~
CROSSREFS
Sequence in context: A004184 A160933 A265524 * A256289 A031076 A346732
KEYWORD
nonn,base,easy
AUTHOR
M. F. Hasler, Mar 22 2015
STATUS
approved