A256305 Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 0 to the digits of n written in base 5; do not convert back to base 10.

1, 2, 3, 4, 0, 21, 22, 23, 24, 20, 31, 32, 33, 34, 30, 41, 42, 43, 44, 40, 1, 2, 3, 4, 0, 211, 212, 213, 214, 210, 221, 222, 223, 224, 220, 231, 232, 233, 234, 230, 241, 242, 243, 244, 240, 201, 202, 203, 204, 200, 311, 312, 313, 314, 310, 321, 322, 323

Offset: 0

Author

M. F. Hasler, Mar 22 2015

Keywords

• nonn
• base
• easy

Comments

Base 5 variant of A256078 (base 2) and A048379 (base 10). See A256303 - A256308 for bases 3 through 8, A256289 for base 9, and A256295 for the variant where the result is converted back to base 10.

Examples

			a(5) = 21 because 5 = "10" (in base 5) becomes "21".
a(24) = 0 because 24 = "44" (in base 5) becomes "00".
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000

Programs

Mathematica

Table[FromDigits[(IntegerDigits[n,5]+1/.(5->0))],{n,0,60}] (* Harvey P. Dale, Nov 15 2020 *)

PARI

A256305(n,b=5)=!n+eval(Strchr(apply(d->(d+1)%b+48, digits(n,b))))