A321205 Alternating row sums of Riordan triangle A319203.

1, -1, 0, 0, 2, 0, -5, -7, 14, 42, -12, -198, -165, 715, 1573, -1573, -9282, -3094, 41548, 63308, -131784, -468996, 111758, 2496144, 2369851, -9926455, -23864570, 22785180, 150243015, 60480225, -709314480, -1161220320, 2325542190, 8874775170, -1613776920

Offset: 0

Author

Wolfdieter Lang, Nov 09 2018

Keywords

• sign
• easy

Comments

The row sums are given in A321204.

Crossrefs

Cf. A319201, A319203, A321204.

Formula

G.f: f(x)/(1 + x*f(x)) where f(x) = F^([-1])(x)/x with F^{[-1]}(y) the compositional inverse of F(x) = x/(1 - x^2 - x^3). The expansion of f is given in A319201.