A256296 Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 0 to the digits of n written in base 6, then convert back to base 10.

1, 2, 3, 4, 5, 0, 13, 14, 15, 16, 17, 12, 19, 20, 21, 22, 23, 18, 25, 26, 27, 28, 29, 24, 31, 32, 33, 34, 35, 30, 1, 2, 3, 4, 5, 0, 79, 80, 81, 82, 83, 78, 85, 86, 87, 88, 89, 84, 91, 92, 93, 94, 95, 90, 97, 98, 99, 100, 101, 96

Offset

0,2

Comments

Base 6 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256299 for bases 3 through 9, and A256306 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(6) = 13 because 6 = 10[6] becomes 21[6] = 13.
a(35) = 0 because 35 = 55[6] becomes 00[6] = 0.

Prog

(PARI) A256296(n, b=6)=!n+apply(t->(t+1)%b, n=digits(n, b))*vector(#n, i, b^(#n-i))~

Crossrefs

Sequence in context: A004181 A080744 A265518 * A256306 A030548 A346690

Adjacent sequences: A256293 A256294 A256295 * A256297 A256298 A256299

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved