A304097 Restricted growth sequence transform of A278222(A302853(n)).

1, 2, 3, 2, 3, 2, 3, 2, 4, 5, 4, 6, 7, 2, 4, 5, 4, 5, 4, 6, 3, 5, 8, 5, 9, 4, 6, 7, 5, 10, 11, 10, 12, 2, 4, 5, 4, 5, 4, 5, 4, 11, 13, 11, 10, 14, 4, 11, 13, 11, 13, 11, 10, 5, 13, 15, 13, 16, 11, 10, 14, 13, 12, 17, 12, 2, 4, 11, 4, 5, 4, 5, 3, 5, 10, 6, 7, 9, 3, 5, 13, 5, 8, 5, 10, 6, 10, 14, 7, 16, 11, 13, 14, 13, 18, 2, 4, 5, 4, 5, 4, 5, 4, 11, 13, 11

Offset: 0

Author

Antti Karttunen, May 17 2018

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..60822

Crossrefs

Cf. A278222, A302791, A282291, A302853, A304098.

Compare also the scatter-plot to that of A304535.

Programs

PARI

\\ Needs also code from A282291 and A302853:
write_to_bfile(start_offset,vec,bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
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; };
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From A046523
A278222(n) = A046523(A005940(1+n));
write_to_bfile(0,rgs_transform(vector(60823,n,A278222(A302853(n-1)))),"b304097.txt");