A140218 Denominators of the inverse triangle to that described in A133135.

1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 4, 1, 2, 1, 1, 4, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 8, 1, 2, 1, 4, 1, 2, 1, 1, 8, 1, 2, 1, 4, 1, 2, 1, 1, 1, 8, 1, 1, 1, 4, 1, 2, 1, 2, 1, 1, 8, 1, 1, 1, 4, 1, 2, 1, 2, 1, 1, 1, 8, 1, 2, 1, 2, 1, 2, 1, 4, 1, 2, 1, 1, 8, 1, 2, 1, 2, 1, 2, 1, 4, 1, 2, 1, 1

Offset: 0

Author

Paul Curtz, Jun 22 2008

Keywords

• nonn
• frac
• tabl

Comments

The inverse of the triangle of fractions starts

1;

-1, 1;

1, -3/2, 1;

-1, 3/2,-2, 1;

1, -5/4, 2, -5/2, 1;

-1, 5/4 -1, 5/2, -3, 1;

1, -7/4, 1, 0, 3, -7/2, 1;

-1, 7/4,-4, 0, 2, 7/2,-4, 1;

1, 3/8, 4,-21/2, -2, 21/4, 4,-9/2, 1;

-1, -3/8,13, 21/2,-26,-21/4,10, 9/2,-5, 1;

to yield the triangle of denominators

1;

1,1;

1,2,1;

1,2,1,1;

1,4,1,2,1;

1,4,1,2,1,1;

1,4,1,1,1,2,1;

1,4,1,1,1,2,1,1;

1,8,1,2,1,4,1,2,1;

1,8,1,2,1,4,1,2,1,1;

1,8,1,1,1,4,1,2,1,2,1;

1,8,1,1,1,4,1,2,1,2,1,1;

Number pairs show up if reading this along diagonals or columns.

Crossrefs

Cf. A133135, A140216, A000079.

Extensions

Extended by R. J. Mathar, Aug 02 2008