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Search: id:A119936
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| A119936 |
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Least common multiple (LCM) of denominators of the rows of the triangle of rationals A119935/A119932. |
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+0
1
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| 1, 8, 108, 576, 18000, 21600, 1234800, 5644800, 57153600, 63504000, 8452382400, 9220780800, 1688171284800, 1818030614400, 1947889944000, 8310997094400, 2551995545299200, 2702112930316800, 1029655143835718400
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OFFSET
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1,2
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COMMENT
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The triangle of rationals is the matrix cube of the matrix with elements a[i,j] = 1/i if j<=i, 0 if j>i.
Triangle A027447(i,j)= a(i)*(A119935(i,j)/A119932(i,j)).
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FORMULA
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a(n)=LCM(seq(A119932(n,m),m=1..n)), n>=1.
a(n)/n^3 = A027451(n) = A002944(n)^2 (the second equation is a conjecture).
a(n)/n^3 = (A099946(n)*(n-1))^2, n>=2 (from the conjecture).
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CROSSREFS
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Sequence in context: A027013 A105261 A099762 this_sequence A164749 A048543 A120975
Adjacent sequences: A119933 A119934 A119935 this_sequence A119937 A119938 A119939
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jul 20 2006
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