A256306 Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 0 to the digits of n written in base 6; do not convert back to base 10.

1, 2, 3, 4, 5, 0, 21, 22, 23, 24, 25, 20, 31, 32, 33, 34, 35, 30, 41, 42, 43, 44, 45, 40, 51, 52, 53, 54, 55, 50, 1, 2, 3, 4, 5, 0, 211, 212, 213, 214, 215, 210, 221, 222, 223, 224, 225, 220, 231, 232, 233, 234, 235, 230, 241, 242, 243, 244, 245, 240

Offset

0,2

Comments

Base 6 variant of A256078 (base 2) and A048379 (base 10). See A256303 - A256308 for bases 3 through 8, A256289 for base 9, and A256296 for the variant where the result is converted back to base 10.

Links

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

Example

a(6) = 21 because 6 = "10" (in base 6) becomes "21".
a(35) = 0 because 35 = "55" (in base 6) becomes "00".

Prog

(PARI) A256306(n, b=6)=!n+eval(Strchr(apply(d->(d+1)%b+48, digits(n, b))))

Crossrefs

Sequence in context: A378226 A265518 A256296 * A030548 A346690 A117724

Adjacent sequences: A256303 A256304 A256305 * A256307 A256308 A256309

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved