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A174793
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Triangle read by rows: R(n,k) = n mod 2^Omega(k), where Omega( ) is number of prime divisors counted with multiplicity and 1 <= k <= n.
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3
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0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 3, 1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 3, 1, 3, 1, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 0, 0, 0, 2, 0, 2, 0, 6, 2, 2, 0, 6, 0, 2
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OFFSET
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1,19
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LINKS
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EXAMPLE
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Triangle begins
0;
0, 0;
0, 1, 1;
0, 0, 0, 0;
0, 1, 1, 1, 1;
0, 0, 0, 2, 0, 2;
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MATHEMATICA
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Omega[n_] := If[n<2, 0, Plus@@Transpose[FactorInteger[n]][[2]]]; Flatten[Table[Mod[n, 2^Omega[k]], {n, 15}, {k, n}]]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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