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

Author

Wolfdieter Lang, Jul 20 2006

Keywords

• nonn
• easy
• tabl
• frac

Comments

The triangle of the corresponding numerators is A119935.

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

Links

• W. Lang: First ten rows and rationals.

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.

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.