A256304 Apply the transformation 0 -> 1 -> 2 -> 3 -> 0 to the digits of n written in base 4; do not convert back to base 10.

1, 2, 3, 0, 21, 22, 23, 20, 31, 32, 33, 30, 1, 2, 3, 0, 211, 212, 213, 210, 221, 222, 223, 220, 231, 232, 233, 230, 201, 202, 203, 200, 311, 312, 313, 310, 321, 322, 323, 320, 331, 332, 333, 330, 301, 302, 303, 300, 11, 12, 13, 10, 21, 22, 23, 20, 31, 32

Offset

0,2

Comments

Base 4 variant of A256078 (base 2) and A048379 (base 10). See A256303 - A256308 for bases 3 through 8, A256289 for base 9, and A256294 for the variant where the result is converted back to base 10.

Links

Table of n, a(n) for n=0..57.

Example

a(4) = 21 because 4 = "10" (in base 4) becomes "21".
a(15) = 0 because 15 = "33" (in base 4) becomes "00".

Prog

(PARI) A256304(n, b=4)=!n+eval(Strchr(apply(d->(d+1)%b+48, digits(n, b))))

Crossrefs

Sequence in context: A009206 A318146 A088874 * A002634 A319173 A295945

Adjacent sequences: A256301 A256302 A256303 * A256305 A256306 A256307

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved