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A335880
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Lexicographically earliest infinite sequence such that a(i) = a(j) => A329697(i) = A329697(j) and A331410(i) = A331410(j) for all i, j >= 1.
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11
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1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 5, 2, 5, 4, 6, 1, 7, 5, 8, 3, 9, 5, 9, 2, 10, 5, 8, 4, 11, 6, 12, 1, 8, 7, 8, 5, 11, 8, 8, 3, 6, 9, 13, 5, 11, 9, 14, 2, 14, 10, 10, 5, 11, 8, 11, 4, 15, 11, 15, 6, 9, 12, 13, 1, 11, 8, 15, 7, 13, 8, 13, 5, 16, 11, 16, 8, 13, 8, 13, 3, 15, 6, 8, 9, 17, 13, 18, 5, 16, 11, 13, 9, 14, 14, 18, 2, 6, 14, 15, 10, 16, 10, 8, 5, 15
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OFFSET
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1,3
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COMMENTS
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Restricted growth sequence transform of the ordered pair [A329697(n), A331410(n)].
For all i, j:
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LINKS
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PROG
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(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; };
A329697(n) = { my(f=factor(n)); sum(k=1, #f~, if(2==f[k, 1], 0, f[k, 2]*(1+A329697(f[k, 1]-1)))); };
A331410(n) = { my(f=factor(n)); sum(k=1, #f~, if(2==f[k, 1], 0, f[k, 2]*(1+A331410(f[k, 1]+1)))); };
v335880 = rgs_transform(vector(up_to, n, Aux335880(n)));
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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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