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

0,2

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.

Links

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A265516 A256295 A179078 * A031219 A346689 A071498

Adjacent sequences: A256302 A256303 A256304 * A256306 A256307 A256308

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved