A321200 Alternating row sums of Riordan triangle A321198.

1, -1, 2, -4, 8, -18, 39, -89, 204, -472, 1110, -2616, 6231, -14909, 35861, -86705, 210364, -512480, 1252350, -3069638, 7544818, -18589202, 45907708, -113608590, 281698359, -699748003, 1741102844, -4338995332, 10828981851, -27063384783, 67722954114, -169674183372, 425590855116, -1068654838488

Offset: 0

Author

Wolfdieter Lang, Nov 12 2018

Keywords

• sign
• easy

Comments

The row sums of triangle A321198 are given in A321199.

Crossrefs

Cf. A001005, A077961, A321198, A321199.

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).