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A300825
Filter sequence combining A300823(n) and A300824(n).
4
1, 2, 2, 3, 2, 4, 2, 5, 6, 7, 2, 8, 2, 9, 10, 9, 2, 11, 2, 12, 13, 14, 2, 15, 16, 17, 18, 19, 2, 20, 2, 21, 22, 23, 24, 25, 2, 26, 27, 28, 2, 29, 2, 30, 31, 32, 2, 33, 34, 35, 36, 37, 2, 38, 39, 40, 41, 42, 2, 43, 2, 44, 45, 44, 46, 47, 2, 48, 49, 50, 2, 51, 2, 52, 53, 54, 55, 56, 2, 57, 58, 59, 2, 60, 61, 62, 63, 64, 2, 65, 66, 64, 67, 68, 69
OFFSET
1,2
COMMENTS
Restricted growth sequence transform of ordered pair [A300823(n), A300824(n)].
For all i, j: a(i) = a(j) => A051953(i) = A051953(j).
LINKS
PROG
(PARI)
up_to = 65537;
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; };
write_to_bfile(start_offset, vec, bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }
A244042(n) = fromdigits(apply(x->(x%2), digits(n, 3)), 3);
A300823(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A244042(d));
A300222(n) = (n - A244042(n));
A300824(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A300222(d));
Aux300825(n) = [A300823(n), A300824(n)];
write_to_bfile(1, rgs_transform(vector(up_to, n, Aux300825(n))), "b300825.txt");
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 14 2018
STATUS
approved