A286543 Restricted growth sequence of A286542.

1, 2, 2, 3, 4, 3, 2, 5, 4, 6, 4, 5, 4, 3, 2, 7, 8, 6, 4, 6, 9, 6, 8, 7, 4, 6, 9, 5, 9, 3, 2, 10, 8, 11, 8, 6, 9, 6, 4, 12, 8, 13, 9, 12, 14, 11, 9, 10, 9, 6, 4, 12, 8, 13, 14, 7, 8, 13, 9, 5, 9, 3, 2, 15, 16, 11, 8, 11, 14, 11, 8, 12, 8, 13, 14, 6, 4, 6, 4, 17, 18, 11, 14, 13, 9, 13, 9, 6, 19, 20, 14, 11, 14, 13, 14, 15, 18, 13, 14, 6, 18, 6, 4, 6, 18, 11, 8

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..8191

Prog

(PARI)
allocatemem(2^30);
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])); }
A000120(n) = hammingweight(n);
A002110(n) = prod(i=1, n, prime(i));
A019565(n) = {my(j, v); factorback(Mat(vector(if(n, #n=vecextract(binary(n), "-1..1")), j, [prime(j), n[j]])~))}; \\ This function from M. F. Hasler
A007947(n) = factorback(factorint(n)[, 1]); \\ From Andrew Lelechenko, May 09 2014
A065642(n) = { my(r=A007947(n)); if(1==n, n, n = n+r; while(A007947(n) <> r, n = n+r); n); };
A285332(n) = { if(n<=1, n+1, if(!(n%2), A019565(A285332(n/2)), A065642(A285332((n-1)/2)))); };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ This function from Charles R Greathouse IV, Aug 17 2011
A286542(n) = if(!n, 1, if(!(n%2), A002110(A000120(A285332(n/2))), A046523(A285332(n))));
write_to_bfile(0, rgs_transform(vector(8192, n, A286542(n-1))), "b286543.txt");

Crossrefs

Cf. A046523, A285332, A286542, A286544.

Sequence in context: A375207 A245909 A077769 * A285732 A144909 A352636

Adjacent sequences: A286540 A286541 A286542 * A286544 A286545 A286546

Keyword

nonn,look

Author

Antti Karttunen, May 18 2017

Status

approved