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A302795
Restricted growth sequence transform of A278222(A302793(n)).
3
1, 2, 3, 4, 2, 3, 2, 5, 6, 4, 2, 7, 4, 7, 4, 3, 5, 4, 2, 7, 4, 8, 9, 6, 7, 7, 10, 3, 7, 10, 5, 11, 9, 9, 2, 7, 4, 8, 12, 4, 7, 8, 12, 13, 8, 9, 7, 14, 4, 7, 10, 3, 7, 6, 7, 15, 12, 9, 5, 15, 4, 14, 16, 9, 11, 4, 2, 7, 12, 8, 9, 4, 7, 8, 9, 4, 8, 10, 7, 14, 12, 8, 12, 12, 8, 12, 8, 17, 4, 18, 7, 19, 12, 17, 4, 9, 14, 7, 12, 3, 7, 10, 7, 15, 12, 12
OFFSET
0,2
PROG
(PARI)
rgs_transform(invec) = { my(occurrences = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(occurrences, invec[i]), my(pp = mapget(occurrences, invec[i])); outvec[i] = outvec[pp] , mapput(occurrences, invec[i], i); outvec[i] = u; u++ )); outvec; };
write_to_bfile(start_offset, vec, bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ After code in A005940
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));
A193231(n) = { my(x='x); subst(lift(Mod(1, 2)*subst(Pol(binary(n), x), x, 1+x)), x, 2) }; \\ From A193231
A302793(n) = if(!n, n, A193231(1+A193231(n-1)));
write_to_bfile(0, rgs_transform(vector(65538, n, A278222(A302793(n-1)))), "b302795.txt");
CROSSREFS
Cf. also A286602, A286622 (compare the scatter-plots).
Sequence in context: A359729 A107795 A274917 * A272726 A262304 A333609
KEYWORD
nonn,base,look
AUTHOR
Antti Karttunen, Apr 26 2018
STATUS
approved