A321199 Row sums of Riordan triangle A321198.

1, 1, 2, 2, 4, 2, 7, -5, 16, -40, 74, -196, 431, -999, 2433, -5575, 13600, -32264, 77794, -188630, 456078, -1113702, 2716432, -6656382, 16351231, -40236773, 99308252, -245471638, 608083547, -1508944093, 3750434282, -9336906118, 23277132752, -58112501728, 145266946742, -363574425058

Offset: 0

Author

Wolfdieter Lang, Nov 12 2018

Keywords

• sign
• easy

Comments

The alternating row sums of triangle A321198 are given in A321200.

Crossrefs

Cf. A001005, A077961, A321198, A321200.

Formula

a(n) = Sum_{k=0..n} A321198(n, k), n >= 0.

G.f.: f(x)/(1 - x*f(x)), with f(x) = F^{[-1]}(x)/x = Sum_{n >= 0}

(-1)^(n+1)*A001005(n)*x^n, where F^{[-1]}(x) is the compositional inverse of F(y) = y/(1 + y^2 - y^3) (see A077961 for F(y)/y).