A304736 Restricted growth sequence transform of A048675(A064413(n)).
1, 2, 3, 4, 3, 5, 5, 4, 6, 5, 7, 6, 8, 9, 10, 6, 5, 7, 11, 12, 13, 7, 14, 9, 15, 10, 16, 17, 18, 7, 6, 19, 20, 21, 22, 23, 24, 25, 9, 14, 13, 26, 27, 28, 7, 8, 18, 14, 22, 12, 15, 9, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 14, 7, 21, 39, 40, 41, 10, 42, 25, 9, 43, 44, 45, 9, 15, 46, 35, 47, 48, 49, 8, 50, 51, 10, 28, 52, 53, 54, 14, 11, 55, 42, 56, 29, 57, 9
Offset: 1
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PARI
A048675(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*2^primepi(f[k, 1]))/2; }; A304735(n) = A048675(A064413(n)); \\ Needs also code for A064413. 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; }; v304736 = rgs_transform(vector(65539,n,A304735(n))); A304736(n) = v304736[n];