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Restricted growth sequence transform of A046523(A304755(n)).
2

%I #6 May 21 2018 11:28:43

%S 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 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 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 Restricted growth sequence transform of A046523(A304755(n)).

%H Antti Karttunen, <a href="/A304757/b304757.txt">Table of n, a(n) for n = 1..65537</a>

%o (PARI)

%o A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523

%o 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 v304757 = rgs_transform(vector(up_to,n,A046523(A304755(n)))); \\ Needs also code from A304755

%o A304757(n) = v304757[n];

%Y Cf. A046523, A304755.

%Y Compare also to the scatter plots of A304098, A304729, A304730 and A304732.

%K nonn

%O 1,2

%A _Antti Karttunen_, May 21 2018