A256297 Apply the transformation 0 -> 1 -> 2 -> 3 -> 4 -> 5 -> 6 -> 0 to the digits of n written in base 7, then convert back to base 10.

1, 2, 3, 4, 5, 6, 0, 15, 16, 17, 18, 19, 20, 14, 22, 23, 24, 25, 26, 27, 21, 29, 30, 31, 32, 33, 34, 28, 36, 37, 38, 39, 40, 41, 35, 43, 44, 45, 46, 47, 48, 42, 1, 2, 3, 4, 5, 6, 0, 106, 107, 108, 109, 110, 111, 105, 113, 114, 115, 116

Offset

0,2

Comments

Base 7 variant of A035327 (base 2) and A048379 (base 10). See A256293 - A256299 for bases 3 through 9, and A256307 for the variant where the result is not converted back to base 10.

Links

Table of n, a(n) for n=0..59.

Example

a(7) = 15 because 7 = 10[7] becomes 21[7] = 15.
a(48) = 0 because 48 = 66[7] becomes 00[7] = 0.

Prog

(PARI) A256297(n, b=7)=!n+apply(t->(t+1)%b, n=digits(n, b))*vector(#n, i, b^(#n-i))~

Crossrefs

Sequence in context: A356965 A004182 A265520 * A256307 A030998 A346691

Adjacent sequences: A256294 A256295 A256296 * A256298 A256299 A256300

Keyword

nonn,base,easy

Author

M. F. Hasler, Mar 22 2015

Status

approved