A129570 A007318 * A129360.

1, 1, 1, 0, 2, 1, -2, 3, 3, 1, -6, 4, 6, 4, 1, -14, 4, 10, 10, 5, 1, -30, 0, 15, 20, 15, 6, 1, -62, -14, 21, 35, 35, 21, 7, 1, -125, -48, 27, 56, 70, 56, 28, 8, 1, -245, -118, 27, 84, 126, 126, 84, 36, 9, 1

Offset: 1

Author

Gary W. Adamson, Apr 22 2007

Keywords

• tabl
• sign

Comments

Row sums = A119968: (1, 2, 3, 5, 9, 16, 27, ...). A129571 = A129360 * A007318.

Examples

			First few rows of the triangle:
    1;
    1,   1;
    0,   2,  1;
   -2,   3,  3,  1;
   -6,   4,  6,  4,  1;
  -14,   4, 10, 10,  5,  1;
  -30,   0, 15, 20, 15,  6,  1;
  -62, -14, 21, 35, 35, 21,  7,  1;
  ...
		

Crossrefs

Cf. A007318, A129360, A119968, A129571.

Formula

Binomial transform of A129360 (as infinite lower triangular matrices).