A297162 Restricted growth sequence transform of A297172, which is Möbius transform of A253564.

1, 2, 3, 2, 4, 2, 5, 6, 3, 3, 7, 3, 8, 4, 3, 9, 10, 6, 11, 4, 12, 5, 13, 14, 4, 7, 14, 5, 15, 3, 16, 17, 18, 8, 4, 9, 19, 10, 20, 21, 22, 4, 23, 7, 12, 11, 24, 25, 5, 9, 26, 8, 27, 9, 18, 28, 29, 13, 30, 31, 32, 15, 18, 33, 34, 5, 35, 10, 36, 31, 37, 17, 38, 16, 14, 11, 5, 7, 39, 40, 25, 19, 41, 42, 43, 22, 44, 45, 46, 14, 20, 13, 47, 23

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..8192

Prog

(PARI)
up_to = 8192;
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])); }
A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};
A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));
A156552(n) = if(1==n, 0, if(!(n%2), 1+(2*A156552(n/2)), 2*A156552(A064989(n))));
A253564(n) = A156552(A122111(n));
A297172(n) = sumdiv(n, d, moebius(n/d)*A253564(d));
write_to_bfile(1, rgs_transform(vector(up_to, n, A297172(n))), "b297162.txt");

Crossrefs

Cf. A253564, A297172.

Cf. also A297113, A297157, A297161.

Sequence in context: A328368 A052297 A365049 * A322587 A058973 A155520

Adjacent sequences: A297159 A297160 A297161 * A297163 A297164 A297165

Keyword

nonn

Author

Antti Karttunen, Dec 27 2017

Status

approved