A256289 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.

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, 30, 41, 42, 43, 44, 45, 46, 47, 48, 40, 51, 52, 53, 54, 55, 56, 57, 58, 50, 61, 62, 63, 64, 65, 66, 67, 68, 60, 71, 72, 73, 74, 75, 76

Offset

0,2

Comments

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.

Links

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

Example

a(9) = 21 because 9 = "10" in base 9 becomes "21".
a(80) = 0 because 80 = "88" in base 9 becomes "00".

Prog

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

Crossrefs

Sequence in context: A160933 A265524 A256299 * A031076 A346732 A321999

Adjacent sequences: A256286 A256287 A256288 * A256290 A256291 A256292

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved