A379099 a(n) = Sum_{k=0..n} binomial(2*k, k)*binomial(2*n, n)/(n + 1). Row sums of A379100.
1, 3, 18, 145, 1386, 14742, 168300, 2019303, 25135110, 321849814, 4215006588, 56222048610, 761436454492, 10446021648900, 144895117640040, 2029085114629545, 28652994844093170, 407600869429602090, 5836323240704117700, 84058779645184757490, 1217059539049881032220
Offset: 0
Keywords
Programs
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Maple
CatalanNumber := n -> binomial(2*n, n)/(n + 1): a := n -> CatalanNumber(n)*binomial(2*n, n)*hypergeom([1, -n], [1/2 - n], 1/4): seq(simplify(a(n)), n = 0..20);