115300domain: NAppears in sequencesa(n) = n*(n+1)*(2*n^2+1)/6.at n=24A071238Solution to the Dancing School Problem with 5 girls and n+5 boys: f(5,n).at n=11A079910E.g.f. satisfies: A(x) = exp( x*(A(x) + A(x)^2)/2 ).at n=6A138860