A102052 Column 1 of triangle A102051, which is the matrix inverse of triangle A101275 (number of Schroeder paths).

1, -4, 15, -58, 229, -924, 3795, -15822, 66801, -285072, 1227759, -5329938, 23299309, -102474004, 453139947, -2013469718, 8985382889, -40255260696, 180985860071, -816328679450, 3692868722661, -16750809358364, 76170701553635, -347166666620958, 1585669523701729

Offset

0,2

Links

Table of n, a(n) for n=0..24.

Formula

G.f.: 8*(1-x)/(1+sqrt(1+4*x-4*x^2))^3.

Prog

(PARI) {a(n)=polcoeff(8*(1-x)/(1+sqrt(1+4*x-4*x^2+x*O(x^n)))^3, n)}

Crossrefs

Cf. A101275, A102051.

Sequence in context: A017950 A003126 A160156 * A128714 A007342 A017951

Adjacent sequences: A102049 A102050 A102051 * A102053 A102054 A102055

Keyword

sign

Author

Paul D. Hanna, Dec 27 2004

Status

approved