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Write n in 8-ary, sort digits into increasing order.
9

%I #20 Aug 07 2024 15:49:16

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

%T 27,28,29,30,31,4,12,20,28,36,37,38,39,5,13,21,29,37,45,46,47,6,14,22,

%U 30,38,46,54,55,7,15,23,31,39,47,55,63,1,9,10,11,12,13,14

%N Write n in 8-ary, sort digits into increasing order.

%H Seiichi Manyama, <a href="/A319656/b319656.txt">Table of n, a(n) for n = 0..4095</a>

%p a:= n-> (l-> add(l[-i]*8^(i-1), i=1..nops(l)))(sort(convert(n, base, 8))):

%p seq(a(n), n=0..70); # _Alois P. Heinz_, Aug 07 2024

%t Table[FromDigits[Sort[IntegerDigits[n, 8]], 8], {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.join.to_i(k)}

%o end

%o p A(8, 100)

%o (PARI) a(n) = fromdigits(vecsort(digits(n, 8)), 8); \\ _Michel Marcus_, Sep 25 2018

%Y b-ary: A038573 (b=2), A038574 (b=3), A319652 (b=4), A319653 (b=5), A319654 (b=6), A319655 (b=7), this sequence (b=8), A319657 (b=9), A004185 (b=10).

%Y Cf. A165090.

%K nonn,base,look

%O 0,3

%A _Seiichi Manyama_, Sep 25 2018