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

0,2

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,...

Links

Table of n, a(n) for n=0..55.

Example

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

Crossrefs

Sequence in context: A202710 A200965 A117427 * A200756 A108556 A122440

Adjacent sequences: A097758 A097759 A097760 * A097762 A097763 A097764

Keyword

easy,sign,tabl

Author

Paul Barry, Aug 23 2004

Status

approved