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.

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.

Links

Table of n, a(n) for n=0..59.

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

Adjacent sequences: A256296 A256297 A256298 * A256300 A256301 A256302

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved