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A290082 Restricted growth sequence transform of A289625(A003961(n)).

%I A290082 #6 Jul 22 2017 10:13:16
%S A290082 1,2,3,4,4,5,6,7,8,9,10,11,12,13,11,14,7,15,16,17,15,11,18,19,20,21,
%T A290082 22,23,24,25,26,27,28,29,23,30,31,32,33,34,20,35,36,37,30,38,39,40,41,
%U A290082 42,19,43,44,45,37,46,47,23,48,49,50,19,51,52,43,53,54,34,55,56,57,58,59,60,61,62,30,63,64,65,66,42,67,68,34,69,30,70,71,68,72,61
%N A290082 Restricted growth sequence transform of A289625(A003961(n)).
%C A290082 For all i, j: a(i) = a(j) => A003972(i) = A003972(j).
%H A290082 Antti Karttunen, <a href="/A290082/b290082.txt">Table of n, a(n) for n = 1..16384</a>
%o A290082 (PARI)
%o A290082 rgs_transform(invec) = { my(occurrences = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(occurrences,invec[i]), my(pp = mapget(occurrences, invec[i])); outvec[i] = outvec[pp] , mapput(occurrences,invec[i],i); outvec[i] = u; u++ )); outvec; };
%o A290082 write_to_bfile(start_offset,vec,bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
%o A290082 A003961(n) = { my(f = factor(n)); for (i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; \\ This function from _Michel Marcus_
%o A290082 A289625(n) = { my(m=1,p=2,v=znstar(n)[2]); for(i=1,length(v),m *= p^v[i]; p = nextprime(p+1)); (m); };
%o A290082 write_to_bfile(1,rgs_transform(vector(16384,n,A289625(A003961(n)))),"b290082_upto16384.txt");
%Y A290082 Cf. A003961, A003972, A289625, A290076.
%K A290082 nonn
%O A290082 1,2
%A A290082 _Antti Karttunen_, Jul 20 2017