A119932 Triangle of denominators of the cube of a certain lower triangular matrix.

1, 8, 8, 108, 108, 27, 576, 576, 576, 64, 18000, 18000, 18000, 2000, 125, 21600, 21600, 21600, 21600, 5400, 216, 1234800, 1234800, 1234800, 1234800, 308700, 12348, 343, 5644800, 5644800, 5644800, 5644800

Offset

1,2

Comments

The triangle of the corresponding numerators is A119935.

See a comment under A119935 on the relation to the triangle A027447.

Links

Table of n, a(n) for n=1..32.

W. Lang: First ten rows and rationals.

Formula

a(i,j)= denominator(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.

Crossrefs

a(i, j)=1/A002024(i, j), i>=1, j<=i.

Row sums give A119933. Row sums of the triangle of rationals are identical 1.

Sequence in context: A286068 A228071 A192386 * A270118 A270150 A065241

Adjacent sequences: A119929 A119930 A119931 * A119933 A119934 A119935

Keyword

nonn,easy,tabl,frac

Author

Wolfdieter Lang, Jul 20 2006

Status

approved