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A321524 Right-rotate nonzero digits in ternary expansion of n and convert back to decimal. 2

%I #9 Nov 14 2018 17:08:06

%S 0,1,2,3,4,7,6,5,8,9,10,19,12,13,22,21,14,23,18,11,20,15,16,25,24,17,

%T 26,27,28,55,30,31,58,57,32,59,36,37,64,39,40,67,66,41,68,63,38,65,42,

%U 43,70,69,44,71,54,29,56,33,34,61,60,35,62,45,46,73,48,49

%N Right-rotate nonzero digits in ternary expansion of n and convert back to decimal.

%C This sequence is a permutation of the nonnegative integers with inverse A321525.

%H Rémy Sigrist, <a href="/A321524/b321524.txt">Table of n, a(n) for n = 0..6561</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F a(3 * n) = 3 * a(n).

%e The first terms, alongside the corresponding ternary representations, are:

%e n a(n) ter(n) ter(a(n))

%e -- ---- ------ ---------

%e 0 0 0 0

%e 1 1 1 1

%e 2 2 2 2

%e 3 3 10 10

%e 4 4 11 11

%e 5 7 12 21

%e 6 6 20 20

%e 7 5 21 12

%e 8 8 22 22

%e 9 9 100 100

%e 10 10 101 101

%e 11 19 102 201

%e 12 12 110 110

%e 13 13 111 111

%e 14 22 112 211

%e 15 21 120 210

%e 16 14 121 112

%e 17 23 122 212

%o (PARI) a(n, base=3) = my (d=digits(n, base), t=select(sign, d), i=-2); for (j=1, #d, if (d[j], d[j]=t[1+(i++%#t)])); fromdigits(d, base)

%Y Cf. A321464, A321525 (inverse).

%K nonn,base

%O 0,3

%A _Rémy Sigrist_, Nov 12 2018

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)