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A060583 A ternary code related to the Tower of Hanoi. 4
0, 2, 1, 7, 6, 8, 5, 4, 3, 23, 22, 21, 18, 20, 19, 25, 24, 26, 16, 15, 17, 14, 13, 12, 9, 11, 10, 70, 69, 71, 68, 67, 66, 63, 65, 64, 54, 56, 55, 61, 60, 62, 59, 58, 57, 77, 76, 75, 72, 74, 73, 79, 78, 80, 50, 49, 48, 45, 47, 46, 52, 51, 53, 43, 42, 44, 41, 40, 39, 36, 38, 37 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Write n in base 3, then (working from left to right) if the k-th digit of n is equal to the corresponding digit to the left of the k-th digit of a(n) 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.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..6560

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(n) = 3a(floor(n/3)) + ((-a(floor(n/3))-n) mod 3) = 3a(floor(n/3)) + A060582(n) with a(0)=0.

EXAMPLE

a(46) = 76 since 43 = 1201_3; this gives a first digit of 2(=3-1-0) for a(n), a second digit of 2(=2=2), a third digit of 1(=3-2-0) and a fourth digit of 1(=1=1); 2211_3 = 76.

CROSSREFS

Cf. A060586, A060587.

Sequence in context: A204912 A178049 A257577 * A246751 A295850 A078104

Adjacent sequences:  A060580 A060581 A060582 * A060584 A060585 A060586

KEYWORD

base,nonn,look

AUTHOR

Henry Bottomley, Apr 04 2001

STATUS

approved

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Last modified December 7 22:29 EST 2019. Contains 329850 sequences. (Running on oeis4.)