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A328765
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Lexicographically earliest infinite sequence such that a(i) = a(j) => f(i) = f(j), where f(n) = A328763(n), except for odd numbers > 1, f(n) = 0.
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2
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1, 2, 3, 4, 5, 4, 3, 4, 5, 4, 6, 4, 7, 4, 6, 4, 8, 4, 9, 4, 10, 4, 10, 4, 11, 4, 10, 4, 12, 4, 7, 4, 5, 4, 9, 4, 9, 4, 6, 4, 10, 4, 13, 4, 10, 4, 10, 4, 14, 4, 12, 4, 12, 4, 15, 4, 12, 4, 16, 4, 13, 4, 6, 4, 8, 4, 14, 4, 10, 4, 10, 4, 17, 4, 12, 4, 12, 4, 18, 4, 12, 4, 19, 4, 20, 4, 21, 4, 19, 4, 17, 4, 10, 4, 12, 4, 14, 4, 12, 4, 12, 4, 22, 4, 12, 4
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OFFSET
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0,2
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COMMENTS
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For all i, j:
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LINKS
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PROG
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(PARI)
up_to = 32768;
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; };
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A328613(n) = { my(m=1, p=2); while(n, m *= p^valuation(n, p); n = n\p; p = nextprime(1+p)); (m*p); };
Aux328765(n) = if((n>1)&&(n%2), 0, A328763(n));
v328765 = rgs_transform(vector(1+up_to, n, Aux328765(n-1)));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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