50404

Appears in sequences

• a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers).at n=16A024469
• a(n) = Sum_{k=0..n-1} T(n,k)*T(n,2n-k), T given by A027960.at n=8A027980
• Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+9), n>=0.at n=8A067987
• Expansion of g.f.: 4^n*n!*(1-y)^(n+1)*f(x, y, m), where f(x, y, m) = 2^(m+1)*exp(2^m*t)/((1-y*exp(t))*(1 + (2^(m+1)-1)*exp(2^m*t))), and m = -2.at n=17A171694
• Number of unordered pairs of partitions of n with no common parts.at n=22A260669
• Number of convex hulls of vertices of a regular n-gon which include the centroid, up to dihedral symmetry.at n=20A291857
• Number of integer-sided polygons having perimeter n, modulo rotations and reflections.at n=18A293818