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

Author

M. F. Hasler, Mar 22 2015

Keywords

• nonn
• base
• easy

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.

Examples

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

Programs

PARI

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