0,6

It is conjectured that this is an integer triangle. Row sums are A127756.

Triangle begins

1,

0, 1,

0, -1, 2,

0, 1, -2, 6,

0, 0, 0, -6, 24,

0, -1, 2, 0, -24, 120,

0, 0, 0, 0, 0, -120, 720,

0, 1, -2, 6, 0, 0, -720, 5040,

0, 0, 0, 0, 0, 0, 0, -5040, 40320,

0, 0, 0, -6, 24, 0, 0, 0, -40320, 362880,

0, 0, 0, 0, 0, 0, 0, 0, 0, -362880, 3628800,

0, -1, 2, 0, -24, 120, 0, 0, 0, 0, -3628800, 39916800,

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39916800, 479001600

Inverse of triangle

1,

0, 1,

0, 1/2, 1/2,

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

0, 0, 1/24, 1/24, 1/24,

0, 0, 0, 1/120, 1/120, 1/120,

0, 0, 0, 1/720, 1/720, 1/720, 1/720,

0, 0, 0, 0, 1/5040, 1/5040, 1/5040, 1/5040,

0, 0, 0, 0, 1/40320, 1/40320, 1/40320, 1/40320, 1/40320,

0, 0, 0, 0, 0, 1/362880, 1/362880, 1/362880, 1/362880, 1/362880,

0, 0, 0, 0, 0, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800, 1/3628800

Sequence in context: A055509 A006667 A112570 this_sequence A014511 A085855 A128132

Adjacent sequences: A127752 A127753 A127754 this_sequence A127756 A127757 A127758

sign,tabl

Paul Barry (pbarry(AT)wit.ie), Jan 28 2007