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A351453
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Lexicographically earliest infinite sequence such that a(i) = a(j) => A006530(i) = A006530(j) and A007733(i) = A007733(j) for all i, j >= 1.
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3
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1, 2, 3, 2, 4, 3, 5, 2, 6, 4, 7, 3, 8, 5, 4, 2, 9, 6, 10, 4, 11, 7, 12, 3, 13, 8, 14, 5, 15, 4, 16, 2, 7, 9, 17, 6, 18, 10, 8, 4, 19, 11, 20, 7, 21, 12, 22, 3, 23, 13, 9, 8, 24, 14, 25, 5, 10, 15, 26, 4, 27, 16, 11, 2, 8, 7, 28, 9, 29, 17, 30, 6, 31, 18, 13, 10, 32, 8, 33, 4, 34, 19, 35, 11, 9, 20, 15, 7, 36, 21, 8, 12, 37, 22, 38, 3, 39, 23, 32, 13, 40, 9, 41, 8, 17
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OFFSET
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1,2
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COMMENTS
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Restricted growth sequence transform of the ordered pair [A006530(n), A007733(n)].
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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; };
A006530(n) = if(1==n, n, my(f=factor(n)); f[#f~, 1]);
A007733(n) = znorder(Mod(2, n/2^valuation(n, 2))); \\ This function from A007733
v351453 = rgs_transform(vector(up_to, n, Aux351453(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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