A304114 - OEIS

%I #7 May 17 2018 17:02:38

%S 1,2,2,3,3,4,5,6,2,5,3,7,5,8,2,9,9,10,4,11,11,2,2,6,12,7,13,12,14,2,

%T 15,11,16,9,17,6,18,9,19,3,20,10,2,21,12,22,17,23,20,24,2,25,17,26,15,

%U 27,8,28,27,29,2,2,30,30,31,13,32,5,33,6,34,11,35,12,36,7,37,19,2,38,29,39,22,40,37,41,2,2,42,42,43,16,44,4,45,20,46,27,47,21

%N Restricted growth sequence transform of A246277(A098550(n)), related to indices in the prime factorization of Yellowstone permutation.

%H Antti Karttunen, <a href="/A304114/b304114.txt">Table of n, a(n) for n = 1..65539</a>

%F For all i, j: a(i) = a(j) => A304115(i) = A304115(j).

%o (PARI)

%o \\ Needs also code for A098550:

%o A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};

%o A246277(n) = { if(1==n, 0, while((n%2), n = A064989(n)); (n/2)); };

%o Aux304114(n) = A246277(A098550(n));

%o write_to_bfile(start_offset,vec,bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }

%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 write_to_bfile(1,rgs_transform(vector(65539,n,Aux304114(n))),"b304114.txt");

%Y Cf. A098550, A246277, A304115.

%Y Cf. also A304112.

%K nonn

%O 1,2

%A _Antti Karttunen_, May 17 2018