A319651 - OEIS

%I #25 Aug 07 2024 10:35:05

%S 0,1,2,3,4,7,6,7,8,9,12,21,12,13,22,21,22,25,18,21,24,21,22,25,24,25,

%T 26,27,36,63,36,39,66,63,66,75,36,39,66,39,40,67,66,67,76,63,66,75,66,

%U 67,76,75,76,79,54,63,72,63,66,75,72,75,78,63,66,75,66,67,76,75,76

%N Largest number having in its ternary representation the same number of 0's, 1's and 2's as n.

%H Seiichi Manyama, <a href="/A319651/b319651.txt">Table of n, a(n) for n = 0..6560</a>

%F n <= a(n) < 3n. - _Charles R Greathouse IV_, Aug 07 2024

%t Table[FromDigits[ReverseSort[IntegerDigits[n, 3]], 3], {n, 0, 100}] (* _Paolo Xausa_, Aug 07 2024 *)

%o (Ruby)

%o def A(k, n)

%o   (0..n).map{|i| i.to_s(k).split('').sort.reverse.join.to_i(k)}

%o end

%o p A(3, 100)

%o (PARI) a(n) = fromdigits(vecsort(digits(n, 3),,4), 3); \\ _Michel Marcus_, Sep 25 2018

%o (Python)

%o from gmpy2 import digits

%o def A319651(n):

%o     return int(''.join(sorted(digits(n,3),reverse=True)),3) # _Chai Wah Wu_, Sep 26 2018

%Y Base b: A073138 (b=2), this sequence (b=3), A319720 (b=4), A319722 (b=5), A319723 (b=6), A319724 (b=7), this sequence (b=8), A319726 (b=9), A004186 (b=10).

%Y Cf. A038574.

%K nonn,base,look,easy

%O 0,3

%A _Seiichi Manyama_, Sep 25 2018