A097761 Inverse of binomial transform of Whitney triangle.

1, -2, 1, 4, -4, 1, -10, 13, -6, 1, 28, -42, 26, -8, 1, -84, 138, -102, 43, -10, 1, 264, -462, 385, -198, 64, -12, 1, -858, 1573, -1430, 845, -338, 89, -14, 1, 2860, -5434, 5278, -3458, 1610, -530, 118, -16, 1, -9724, 19006, -19448, 13804, -7208, 2788, -782, 151, -18, 1, 33592

Offset: 0

Author

Paul Barry, Aug 23 2004

Keywords

• easy
• sign
• tabl

Comments

As an element of the Riordan group, this is ((1-x*C(-x))*C(-x), x*C(-x)^2), where C(x) = (1-(1-4*x)^(1/2))/(2*x) is the g.f. for Catalan numbers, A000108.

Inverse of A097750.

Row sums have g.f. (1-x*C(-x))*C(-x)/(1-x*C(-x)^2), or 1,-1,1,-2,5,-14,42,...

Examples

			Rows begin:
  {1},
  {-2,1},
  {4,-4,1},
  {-10,13,-6,1},
  ...