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A304757 Restricted growth sequence transform of A046523(A304755(n)).

%I A304757 #6 May 21 2018 11:28:43
%S A304757 1,2,3,2,4,5,6,4,5,7,8,9,10,8,9,7,11,3,2,4,12,13,3,14,8,11,12,4,15,16,
%T A304757 3,2,4,12,13,3,14,8,11,12,4,15,17,3,13,18,13,19,12,20,8,14,21,14,8,22,
%U A304757 23,12,19,24,3,2,4,12,13,3,14,8,11,12,4,15,16,13,3,12,19,18,13,21,14,20,19,12,25,26,27,28,29,30,26,31,32,33,4,5,6,15,12,4
%N A304757 Restricted growth sequence transform of A046523(A304755(n)).
%H A304757 Antti Karttunen, <a href="/A304757/b304757.txt">Table of n, a(n) for n = 1..65537</a>
%o A304757 (PARI)
%o A304757 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
%o A304757 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 A304757 v304757 = rgs_transform(vector(up_to,n,A046523(A304755(n)))); \\ Needs also code from A304755
%o A304757 A304757(n) = v304757[n];
%Y A304757 Cf. A046523, A304755.
%Y A304757 Compare also to the scatter plots of A304098, A304729, A304730 and A304732.
%K A304757 nonn
%O A304757 1,2
%A A304757 _Antti Karttunen_, May 21 2018