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%I #10 Dec 10 2023 18:10:36
%S 0,1,6,3,2,5,16,7,12,9,8,11,22,13,18,15,14,17,4,19,24,21,20,23,58,25,
%T 30,27,26,29,40,31,36,33,32,35,46,37,42,39,38,41,28,43,48,45,44,47,82,
%U 49,54,51,50,53,64,55,60,57,56,59,70,61,66,63,62,65,52,67,72,69,68,71,106,73,78,75,74,77,88,79,84,81,80,83,94,85
%N Permutation of nonnegative integers: a(0) = 0; for n >= 1, a(n) = 1+A225901(A225901(n)-1).
%H Antti Karttunen, <a href="/A302852/b302852.txt">Table of n, a(n) for n = 0..10079</a>
%H David Newman, et al., <a href="http://list.seqfan.eu/oldermail/seqfan/2018-January/018239.html">New sequences from old, Discussion on SeqFan-mailing list</a>, January 2018.
%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(0) = 0; for n >= 1, a(n) = 1+A225901(A225901(n)-1).
%o (PARI)
%o A225901(n) = { my(s=0, d, k=2); while(n, d=n%k; n=n\k; if(d, s += (k-d)*(k-1)!); k=k+1); (s); };
%o A302852(n) = if(!n,n,1+A225901(A225901(n)-1));
%Y Cf. A302851 (inverse).
%Y Cf. A225901.
%K nonn,base
%O 0,3
%A _Antti Karttunen_, Apr 26 2018