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

Author

M. F. Hasler, Mar 22 2015

Keywords

• nonn
• base
• easy

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.

Examples

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

Programs

PARI

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