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A286614 Restricted growth sequence transform of A286613.

%I A286614 #7 May 30 2017 18:16:45
%S A286614 1,2,2,2,3,4,2,5,5,2,6,2,3,5,6,2,2,2,6,7,5,2,8,6,2,5,5,2,6,6,2,5,3,6,
%T A286614 5,6,5,2,9,5,10,6,2,5,11,2,9,5,5,9,5,5,8,12,2,6,13,5,14,2,2,9,5,5,5,5,
%U A286614 2,2,13,6,2,2,5,2,13,8,5,5,12,6,5,5,5,2,5,6,6,5,2,2,6,6,9,5,6,15,5,5,6,5
%N A286614 Restricted growth sequence transform of A286613.
%H A286614 Antti Karttunen, <a href="/A286614/b286614.txt">Table of n, a(n) for n = 0..65536</a>
%o A286614 (PARI)
%o A286614 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 A286614 write_to_bfile(start_offset,vec,bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
%o A286614 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 A286614 A048673(n) = (A003961(n)+1)/2;
%o A286614 A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ Modified from code of _M. F. Hasler_
%o A286614 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ This function from _Charles R Greathouse IV_, Aug 17 2011
%o A286614 A286613(n) = A046523(A048673(A005940(1+n)));
%o A286614 write_to_bfile(0,rgs_transform(vector(65537,n,A286613(n-1))),"b286614.txt");
%Y A286614 Cf. A286613, A286622.
%K A286614 nonn
%O A286614 0,2
%A A286614 _Antti Karttunen_, May 30 2017