A328764 - OEIS

%I #7 Oct 28 2019 20:00:31

%S 1,2,3,4,5,6,3,7,5,8,9,10,11,12,9,13,14,15,16,17,18,19,18,20,21,17,18,

%T 22,23,24,11,7,5,25,16,26,16,12,9,27,18,28,29,17,18,30,18,31,32,17,23,

%U 33,23,34,35,36,23,37,38,39,29,12,9,40,14,41,32,17,18,42,18,43,44,45,23,46,23,47,48,36,23,49,50,51,52,53,54,55,50,56,44,17,18,40,23

%N Lexicographically earliest infinite sequence such that a(i) = a(j) => A328763(i) = A328763(j) for all i, j.

%C Restricted growth sequence transform of A328763.

%C For all i, j:

%C   a(i) = a(j) => A328765(i) = A328765(j) => A328578(i) = A328578(j),

%C   a(i) = a(j) => A328766(i) = A328766(j).

%H Antti Karttunen, <a href="/A328764/b328764.txt">Table of n, a(n) for n = 0..32768</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%o (PARI)

%o up_to = 32768;

%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 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A328613(n) = { my(m=1, p=2); while(n, m *= p^valuation(n,p); n = n\p; p = nextprime(1+p)); (m*p); };

%o A328763(n) = A328613(A276086(n));

%o v328764 = rgs_transform(vector(1+up_to, n, A328763(n-1)));

%o A328764(n) = v328764[1+n];

%Y Cf. A276086, A328578, A328613, A328763, A328765, A328766.

%K nonn

%O 0,2

%A _Antti Karttunen_, Oct 28 2019