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Search: id:A119935
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| A119935 |
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Triangle of numerators of the cube of a certain lower triangular matrix. |
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5
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| 1, 7, 1, 85, 19, 1, 415, 115, 37, 1, 12019, 3799, 1489, 61, 1, 13489, 4669, 2059, 919, 91, 1, 726301, 268921, 128431, 64171, 7669, 127, 1, 3144919, 1227199, 621139, 334699, 178669, 3565, 169, 1, 30300391
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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The triangle of the corresponding denominators is A119932.
This triangle of numerators is related to (and was derived from) A027447. There the lowest common multiple (lcm) of the denominators of each row i of the triangle of rationals r(i,j) has been multiplied in order to obtain an integer triangle.
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LINKS
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W. Lang: First ten rows and rationals.
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FORMULA
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a(i,j)= numerator(r(i,j)) with r(i,j):=(A^3)[i,j], where the lower triangular matrix A has elements a[i,j] = 1/i if j<=i, 0 if j>i.
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CROSSREFS
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a(i, j)=1/A002024(i, j), i>=1, j<=i.
Row sums give A119934. Row sums of the triangle of rationals are identical 1.
Sequence in context: A134141 A110788 A100254 this_sequence A027447 A027517 A092082
Adjacent sequences: A119932 A119933 A119934 this_sequence A119936 A119937 A119938
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KEYWORD
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nonn,easy,tabl,frac
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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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