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A304097 Restricted growth sequence transform of A278222(A302853(n)).

%I A304097 #5 May 17 2018 17:03:22
%S A304097 1,2,3,2,3,2,3,2,4,5,4,6,7,2,4,5,4,5,4,6,3,5,8,5,9,4,6,7,5,10,11,10,
%T A304097 12,2,4,5,4,5,4,5,4,11,13,11,10,14,4,11,13,11,13,11,10,5,13,15,13,16,
%U A304097 11,10,14,13,12,17,12,2,4,11,4,5,4,5,3,5,10,6,7,9,3,5,13,5,8,5,10,6,10,14,7,16,11,13,14,13,18,2,4,5,4,5,4,5,4,11,13,11
%N A304097 Restricted growth sequence transform of A278222(A302853(n)).
%H A304097 Antti Karttunen, <a href="/A304097/b304097.txt">Table of n, a(n) for n = 0..60822</a>
%o A304097 (PARI)
%o A304097 \\ Needs also code from A282291 and A302853:
%o A304097 write_to_bfile(start_offset,vec,bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
%o A304097 rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om,invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om,invec[i],i); outvec[i] = u; u++ )); outvec; };
%o A304097 A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
%o A304097 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
%o A304097 A278222(n) = A046523(A005940(1+n));
%o A304097 write_to_bfile(0,rgs_transform(vector(60823,n,A278222(A302853(n-1)))),"b304097.txt");
%Y A304097 Cf. A278222, A302791, A282291, A302853, A304098.
%Y A304097 Compare also the scatter-plot to that of A304535.
%K A304097 nonn
%O A304097 0,2
%A A304097 _Antti Karttunen_, May 17 2018