A322589 Lexicographically earliest such sequence a that for all i, j, a(i) = a(j) => f(i) = f(j), where f(n) = 0 for odd primes, and f(n) = A007913(n) for any other number.

1, 2, 3, 1, 3, 4, 3, 2, 1, 5, 3, 6, 3, 7, 8, 1, 3, 2, 3, 9, 10, 11, 3, 4, 1, 12, 6, 13, 3, 14, 3, 2, 15, 16, 17, 1, 3, 18, 19, 5, 3, 20, 3, 21, 9, 22, 3, 6, 1, 2, 23, 24, 3, 4, 25, 7, 26, 27, 3, 8, 3, 28, 13, 1, 29, 30, 3, 31, 32, 33, 3, 2, 3, 34, 6, 35, 36, 37, 3, 9, 1, 38, 3, 10, 39, 40, 41, 11, 3, 5, 42, 43, 44, 45, 46, 4, 3, 2, 21, 1, 3, 47, 3, 12, 48

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

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; };
Aux322589(n) = if((n>2)&&isprime(n), 0, core(n));
v322589 = rgs_transform(vector(up_to, n, Aux322589(n)));
A322589(n) = v322589[n];

Crossrefs

Cf. A007913, A322587, A322588, A322591, A322592.

Sequence in context: A282935 A354223 A181974 * A185312 A185311 A338764

Adjacent sequences: A322586 A322587 A322588 * A322590 A322591 A322592

Keyword

nonn

Author

Antti Karttunen, Dec 18 2018

Status

approved