cp's OEIS Frontend

A304732 Restricted growth sequence transform of A046523(A304531(n)).

%I A304732 #7 May 19 2018 12:39:00
%S A304732 1,2,3,2,4,5,6,5,4,7,2,3,8,3,7,4,9,4,10,11,12,13,12,14,11,12,13,12,10,
%T A304732 15,16,5,4,7,4,9,6,17,6,9,18,2,3,8,3,7,4,9,4,7,19,3,8,20,8,19,7,18,7,
%U A304732 21,12,13,22,13,23,12,13,22,13,21,10,24,4,7,19,7,18,9,25,9,24,15,16,15,10,21,10,26,27,28,15,10,21,10,29,30,31,32,31
%N A304732 Restricted growth sequence transform of A046523(A304531(n)).
%C A304732 For all i, j: a(i) = a(j) => A304536(i-1) = A304536(j-1).
%H A304732 Antti Karttunen, <a href="/A304732/b304732.txt">Table of n, a(n) for n = 1..74431</a>
%o A304732 (PARI)
%o A304732 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 A304732 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
%o A304732 v304732 = rgs_transform(vector(74431,n,A046523(A304531(n)))); \\ Needs also code from A304531
%o A304732 A304732(n) = v304732[n];
%Y A304732 Cf. A046523, A304531, A304536.
%Y A304732 Differs from related A304729 for the first time at n=66, where a(66) = 12, while A304729(66) = 15.
%Y A304732 Compare also to scatter plots of A304535, A304098, A304729.
%K A304732 nonn
%O A304732 1,2
%A A304732 _Antti Karttunen_, May 19 2018