A060587 A ternary code: inverse of A060583.

0, 2, 1, 8, 7, 6, 4, 3, 5, 24, 26, 25, 23, 22, 21, 19, 18, 20, 12, 14, 13, 11, 10, 9, 16, 15, 17, 72, 74, 73, 80, 79, 78, 76, 75, 77, 69, 71, 70, 68, 67, 66, 64, 63, 65, 57, 59, 58, 56, 55, 54, 61, 60, 62, 36, 38, 37, 44, 43, 42, 40, 39, 41, 33, 35, 34, 32, 31, 30, 28, 27, 29

Offset: 0

Author

Henry Bottomley, Apr 04 2001

Keywords

• base
• nonn

Comments

Write n in base 3, then (working from left to right) if the k-th digit of n is equal to the digit to the left of it then this is the k-th digit of a(n), otherwise the k-th digit of a(n) is the element of {0,1,2} which has not just been compared, then read result as a base 3 number.

Examples

			a(76) = 46 since 76 written in base 3 is 2211; this gives a first digit of 1( = 3-2-0), a second digit of 2( = 2 = 2), a third digit of 0( = 3-1-2) and a fourth digit of 1( = 1 = 1); 1201 base 3 is 46.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..6560
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A060583, A060588, A253586, A253587.

Formula

a(n) = 3a([n/3])+(-[n/3]-n mod 3) = 3a([n/3]) + A060588(n).

a(n) = A253586(n,floor(n/3)) = A253587(n,floor(n/3)). - Alois P. Heinz, Jan 09 2015