A256295 Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 0 to the digits of n written in base 5, then convert back to base 10.

1, 2, 3, 4, 0, 11, 12, 13, 14, 10, 16, 17, 18, 19, 15, 21, 22, 23, 24, 20, 1, 2, 3, 4, 0, 56, 57, 58, 59, 55, 61, 62, 63, 64, 60, 66, 67, 68, 69, 65, 71, 72, 73, 74, 70, 51, 52, 53, 54, 50, 81, 82, 83, 84, 80, 86, 87, 88, 89, 85

Offset

0,2

Comments

Base 5 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256299 for bases 3 through 9, and A256305 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(5) = 11 because 5 = 10[5] becomes 21[5] = 11.
a(24) = 0 because 24 = 44[5] becomes 00[5] = 0.

Prog

(PARI) A256295(n, b=5)=!n+apply(t->(t+1)%b, n=digits(n, b))*vector(#n, i, b^(#n-i))~

Crossrefs

Sequence in context: A054425 A217101 A265516 * A179078 A256305 A031219

Adjacent sequences: A256292 A256293 A256294 * A256296 A256297 A256298

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved