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A305788
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Restricted growth sequence transform of A278233, filter-sequence for GF(2)[X]-factorization.
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10
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1, 2, 2, 3, 3, 4, 2, 5, 4, 6, 2, 6, 2, 4, 5, 7, 7, 8, 2, 9, 3, 4, 4, 10, 2, 4, 6, 6, 4, 10, 2, 11, 4, 12, 4, 13, 2, 4, 6, 14, 2, 6, 4, 6, 10, 8, 2, 12, 4, 4, 11, 6, 4, 13, 2, 10, 6, 8, 2, 14, 2, 4, 6, 15, 9, 8, 2, 16, 3, 8, 4, 17, 2, 4, 10, 6, 4, 13, 4, 16, 3, 4, 8, 9, 15, 8, 2, 10, 4, 17, 2, 13, 4, 4, 6, 18, 2, 8, 6, 6, 8, 18, 2, 10, 10
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OFFSET
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1,2
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COMMENTS
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This is GF(2)[X] analog of A101296.
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LINKS
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PROG
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(PARI)
up_to = 65537;
rgs_transform(invec) = { my(occurrences = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(occurrences, invec[i]), my(pp = mapget(occurrences, invec[i])); outvec[i] = outvec[pp] , mapput(occurrences, invec[i], i); outvec[i] = u; u++ )); outvec; };
A278233(n) = { my(p=0, f=vecsort((factor(Pol(binary(n))*Mod(1, 2))[, 2]), , 4)); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };
v305788 = rgs_transform(vector(up_to, n, A278233(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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