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A201146
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Triangle read by rows: T(n,k) = (n#)/(k#), 1 <= k <= n.
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2
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1, 2, 1, 6, 3, 1, 6, 3, 1, 1, 30, 15, 5, 5, 1, 30, 15, 5, 5, 1, 1, 210, 105, 35, 35, 7, 7, 1, 210, 105, 35, 35, 7, 7, 1, 1, 210, 105, 35, 35, 7, 7, 1, 1, 1, 210, 105, 35, 35, 7, 7, 1, 1, 1, 1, 2310, 1155, 385, 385, 77, 77, 11, 11, 11, 11, 1, 2310, 1155, 385, 385
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Let n > 1 and p = A000040(n). Then T(p,p-1) = T(p+1,p-1) = p.
T(2*n-1,n-1) = A073838(n) for n > 1.
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LINKS
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EXAMPLE
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1: 1
2: 2 1
3: 6 3 1
4: 6 3 1 1
5: 30 15 5 5 1
6: 30 15 5 5 1 1
7: 210 105 35 35 7 7 1
8: 210 105 35 35 7 7 1 1
9: 210 105 35 35 7 7 1 1 1
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MATHEMATICA
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lst = {}; Do[AppendTo[lst, Product[Prime[i], {i, PrimePi[n]}]/Product[Prime[i], {i, PrimePi[k]}]], {n, 12}, {k, n}]; lst (* Arkadiusz Wesolowski, Dec 02 2011 *)
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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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