0,6

It is conjectured that the triangle is an integer triangle. The triangle and its inverse both appear to have row sums equal to the all 1's sequence.

Triangle begins

1,

0, 1,

0, -1, 2,

0, 1, -2, 2,

0, 0, 0, -2, 3,

0, -1, 2, 0, -3, 3,

0, 0, 0, 0, 0, -3, 4,

0, 1, -2, 2, 0, 0, -4, 4,

0, 0, 0, 0, 0, 0, 0, -4, 5,

0, 0, 0, -2, 3, 0, 0, 0, -5, 5,

0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 6,

0, -1, 2, 0, -3, 3, 0, 0, 0, 0, -6, 6,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 7

Inverse of the triangle

1,

0, 1,

0, 1/2, 1/2,

0, 0, 1/2, 1/2,

0, 0, 1/3, 1/3, 1/3,

0, 0, 0, 1/3, 1/3, 1/3,

0, 0, 0, 1/4, 1/4, 1/4, 1/4,

0, 0, 0, 0, 1/4, 1/4, 1/4, 1/4,

0, 0, 0, 0, 1/5, 1/5, 1/5, 1/5, 1/5,

0, 0, 0, 0, 0, 1/5, 1/5, 1/5, 1/5, 1/5, 0;

0, 0, 0, 0, 0, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6

Sequence in context: A131866 A036862 A094238 this_sequence A127771 A118407 A101663

Adjacent sequences: A127790 A127791 A127792 this_sequence A127794 A127795 A127796

sign,tabl

Paul Barry (pbarry(AT)wit.ie), Jan 29 2007