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URL: https://oeis.org/A322826

⇱ A322826 - OEIS

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A322826
Lexicographically earliest such sequence a that a(i) = a(j) => A052126(i) = A052126(j) for all i, j.
5
1, 1, 1, 2, 1, 2, 1, 3, 4, 2, 1, 3, 1, 2, 4, 5, 1, 6, 1, 3, 4, 2, 1, 5, 7, 2, 8, 3, 1, 6, 1, 9, 4, 2, 7, 10, 1, 2, 4, 5, 1, 6, 1, 3, 8, 2, 1, 9, 11, 12, 4, 3, 1, 13, 7, 5, 4, 2, 1, 10, 1, 2, 8, 14, 7, 6, 1, 3, 4, 12, 1, 15, 1, 2, 16, 3, 11, 6, 1, 9, 17, 2, 1, 10, 7, 2, 4, 5, 1, 13, 11, 3, 4, 2, 7, 14, 1, 18, 8, 19, 1, 6, 1, 5, 16
OFFSET
1,4
COMMENTS
Restricted growth sequence transform of A052126, or equally, of A322820.
For all i, j:
A300226(i) = A300226(j) => a(i) = a(j),
a(i) = a(j) => A322813(i) = A322813(j),
a(i) = a(j) => A322819(i) = A322819(j).
For all i, j > 1:
a(i) = a(j) => A001222(i) = A001222(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; };
A006530(n) = if(n>1, vecmax(factor(n)[, 1]), 1);
A052126(n) = (n/A006530(n));
v322826 = rgs_transform(vector(up_to, n, A052126(n)));
A322826(n) = v322826[n];
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 27 2018
STATUS
approved