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A328447 Smallest representative of the class of numbers having the same digits as n up to permutation. 9

%I #26 Dec 06 2021 03:15:36

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

%T 26,27,28,29,30,13,23,33,34,35,36,37,38,39,40,14,24,34,44,45,46,47,48,

%U 49,50,15,25,35,45,55,56,57,58,59,60,16,26,36,46,56,66,67,68,69,70,17,27,37,47,57,67

%N Smallest representative of the class of numbers having the same digits as n up to permutation.

%C Sort the digits in increasing order. If the list starts with a digit 0, move the smallest nonzero digit to the front.

%C Every term is in A179239. - _David A. Corneth_, Oct 17 2019

%H Robert Israel, <a href="/A328447/b328447.txt">Table of n, a(n) for n = 0..10000</a>

%e a(201) = 102: largest digits go to the end, but the smallest nonzero digit must go first.

%p f:= proc(n) local L,i,t;

%p L:= sort(convert(n,base,10));

%p if L[1]=0 then

%p t:= numboccur(0,L)+1;

%p L:= [L[t],op(L[1..t-1]),op(L[t+1..-1])];

%p fi;

%p add(L[-i]*10^(i-1),i=1..nops(L))

%p end proc:

%p f(0):= 0:

%p map(f, [$0..100]);

%t Array[FromDigits@ If[First@ # == 0, Flatten@ MapAt[Reverse, TakeDrop[#, 2], 1], #] &@ Sort@ IntegerDigits[#] &, 67] (* _Michael De Vlieger_, Oct 17 2019 *)

%o (PARI) A328447(n)={if(n=vecsort(digits(n)), n[1]|| for(k=2,#n,n[k]&&[n[1]=n[k],n[k]=0,break]));fromdigits(n)}

%o (Python)

%o def A328447(n):

%o if n == 0: return 0

%o s = str(n)

%o l, s = len(s), ''.join(sorted(s.replace('0','')))

%o return int(s[0]+'0'*(l-len(s))+s[1:]) # _Chai Wah Wu_, Dec 06 2021

%Y Cf. A179239, A004186 (largest representative of the class of n).

%K nonn,base,easy,look

%O 0,3

%A _M. F. Hasler_, Oct 15 2019

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)