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A322592 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) = A289625(n) for any other number. 8
1, 1, 2, 3, 2, 3, 2, 4, 5, 6, 2, 4, 2, 5, 7, 7, 2, 5, 2, 7, 8, 9, 2, 10, 11, 12, 13, 8, 2, 7, 2, 14, 15, 16, 17, 8, 2, 13, 17, 18, 2, 8, 2, 15, 17, 19, 2, 18, 20, 11, 21, 17, 2, 13, 22, 23, 24, 25, 2, 18, 2, 26, 27, 21, 28, 15, 2, 21, 29, 17, 2, 23, 2, 30, 22, 24, 31, 17, 2, 32, 33, 34, 2, 23, 35, 20, 36, 37, 2, 17, 38, 29, 31, 39, 40, 41, 2, 20, 31, 22, 2, 21, 2, 42, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For all i, j:

  a(i) = a(j) => A034380(i) = A034380(j),

  a(i) = a(j) => A104194(i) = A104194(j),

  a(i) = a(j) => A290084(i) = A290084(j).

LINKS

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

PROG

(PARI)

default(parisizemax, 2^31);

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; };

A289625(n) = { my(m=1, p=2, v=znstar(n)[2]); for(i=1, length(v), m *= p^v[i]; p = nextprime(p+1)); (m); };

Aux322592(n) = if((n>2)&&isprime(n), 0, A289625(n));

v322592 = rgs_transform(vector(up_to, n, Aux322592(n)));

A322592(n) = v322592[n];

for(n=1, up_to, write("b322592.txt", n, " ", A322592(n)));

CROSSREFS

Cf. A289625, A289626, A322587, A322588, A322589, A322591.

Sequence in context: A167530 A205789 A029208 * A329896 A303779 A087242

Adjacent sequences:  A322589 A322590 A322591 * A322593 A322594 A322595

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 18 2018

STATUS

approved

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Last modified April 6 12:08 EDT 2020. Contains 333273 sequences. (Running on oeis4.)