A304757 Restricted growth sequence transform of A046523(A304755(n)).

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, 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, 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

Offset: 1

Author

Antti Karttunen, May 21 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537

Crossrefs

Cf. A046523, A304755.

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

Programs

PARI

A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
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; };
v304757 = rgs_transform(vector(up_to,n,A046523(A304755(n)))); \\ Needs also code from A304755
A304757(n) = v304757[n];