379236

Appears in sequences

• a(n) = C(n)*C(n+2) - C(n+1)^2 where C() are the Catalan numbers A000108.at n=8A005700
• Triangle of numbers of Dyck paths.at n=36A039797
• Triangle of numbers of Dyck paths.at n=37A039797
• Triangle read by rows: numbers of Dyck paths.at n=43A039798
• Triangle read by rows: numbers of Dyck paths.at n=44A039798
• Upper triangle of Catalan Number Wall.at n=47A078920
• Triangle read by rows, giving Kekulé numbers for certain benzenoids (see the Cyvin-Gutman book for details).at n=52A123352
• Moment sequence of tr(A) in USp(4).at n=16A138349
• Triangle V(l,p) (l>=0, p=0..l) read by rows: see Formula for definition, see Comments for motivation.at n=121A179898
• Triangle read by rows: Table III.5 of Myriam de Sainte-Catherine's 1983 thesis.at n=73A185249
• Triangle read by rows: the X-transformation of the Catalan triangle A033184.at n=37A228334
• Triangle read by rows: the Y-transformation of the Catalan triangle A033184.at n=36A228335
• Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=5A299009
• Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.at n=5A299013
• Expansion of (1 + 4*x)/sqrt(1 - 4*x).at n=10A349835
• Array read by ascending antidiagonals: A(n,k) is the determinant of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+k) with i,j = 0, ..., n-1.at n=63A368025