A128210 Number triangle T(n,k) = (-1)^(n-k)*[k<=n]*Product_{i=k+1..n} Sum_{j=0..i-1} A078008(j-1).

1, -1, 1, 1, -1, 1, -3, 3, -3, 1, 15, -15, 15, -5, 1, -165, 165, -165, 55, -11, 1, 3465, -3465, 3465, -1155, 231, -21, 1, -148995, 148995, -148995, 49665, -9933, 903, -43, 1, 12664575, -12664575, 12664575

Offset: 0

Author

Paul Barry, Feb 19 2007

Keywords

• easy
• sign
• tabl

Comments

Inverse is A128208. Subdiagonals include -A001045(n+1) and A084175(n+1).

Examples

			Triangle begins:
        1;
       -1,      1;
        1,     -1,       1;
       -3,      3,      -3,     1;
       15,    -15,      15,    -5,     1;
     -165,    165,    -165,    55,   -11,   1;
     3465,  -3465,    3465, -1155,   231, -21,   1;
  -148995, 148995, -148995, 49665, -9933, 903, -43, 1;
  ...