A256294 Apply the transformation 0 -> 1 -> 2 -> 3 -> 0 to the digits of n written in base 4, then convert back to base 10.

1, 2, 3, 0, 9, 10, 11, 8, 13, 14, 15, 12, 1, 2, 3, 0, 37, 38, 39, 36, 41, 42, 43, 40, 45, 46, 47, 44, 33, 34, 35, 32, 53, 54, 55, 52, 57, 58, 59, 56, 61, 62, 63, 60, 49, 50, 51, 48, 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12

Offset

0,2

Comments

Base 4 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256299 for bases 3 through 9, and A256304 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(4) = 7 because 4 = 10[4] becomes 21[4] = 9.
a(15) = 0 because 15 = 33[4] becomes 00[4] = 0.

Prog

(PARI) A256294(n, b=4)=!n+apply(t->(t+1)%b, n=digits(n, b))*vector(#n, i, b^(#n-i))~

Crossrefs

Sequence in context: A175315 A180186 A336083 * A279412 A012399 A012403

Adjacent sequences: A256291 A256292 A256293 * A256295 A256296 A256297

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved