A256304 -id:A256304 - cp's OEIS frontend

A256303 Apply the transformation 0 -> 1 -> 2 -> 0 to the digits of n written in base 3; do not convert back to base 10.

1, 2, 0, 21, 22, 20, 1, 2, 0, 211, 212, 210, 221, 222, 220, 201, 202, 200, 11, 12, 10, 21, 22, 20, 1, 2, 0, 2111, 2112, 2110, 2121, 2122, 2120, 2101, 2102, 2100, 2211, 2212, 2210, 2221, 2222, 2220, 2201, 2202, 2200, 2011, 2012, 2010, 2021, 2022, 2020, 2001

Offset: 0

M. F. Hasler, Mar 22 2015

Base 3 variant of A256078 (base 2) and A048379 (base 10). See A256304 - A256308 for bases 4 through 8, A256289 for base 9, and A256293 for the variant where the result is converted back to base 10.

			a(3) = 21 because 3 = "10" (in base 3) becomes "21".
a(8) = 0 because 8 = "22" (in base 3) becomes "00".

Table[FromDigits[IntegerDigits[n,3]/.{0->1,1->2,2->0}],{n,0,60}] (* Harvey P. Dale, Jun 17 2022 *)

A256303(n,b=3)=!n+eval(Strchr(apply(d->(d+1)%b+48, digits(n,b))))

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

Original entry on oeis.org

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

M. F. Hasler, Mar 22 2015

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.

			a(4) = 7 because 4 = 10[4] becomes 21[4] = 9.
a(15) = 0 because 15 = 33[4] becomes 00[4] = 0.

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

cp's OEIS Frontend

A256303 Apply the transformation 0 -> 1 -> 2 -> 0 to the digits of n written in base 3; do not convert back to base 10.

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