2874009600

Appears in sequences

• Expansion of e.g.f. x/((1-x)(1-x^2)).at n=12A052591
• Expansion of e.g.f. x^2/((1-x)^2*(1+x)).at n=12A052657
• Triangle T(n,r), n>=0, r=n, n-1, ..., 1, 0; where T(n,r) = product of all possible sums of r numbers chosen from [1..n].at n=17A067050
• a(1) = 1; a(n) = n * Sum_{k=1..n-1} a(k).at n=11A074143
• Product of all possible sums of three numbers taken from among first n natural numbers.at n=2A093884
• Number of permutations of [n] for which the first two entries have the same parity (n>=2).at n=11A152661
• Number of endofunctions on [n] where the smallest cycle length equals 10.at n=2A246197
• Number of endofunctions on [n] whose cycle lengths are multiples of 10.at n=12A246617
• G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2*n)*y/[Sum_{k=0..2*n+1} T(n,k)*y^k], where C(x,y) = Sum_{n>=0} x^(2*n) / Product_{k=1..2*n} (k + y) and S(x,y) = Sum_{n>=0} x^(2*n+1) / Product_{k=1..2*n+1} (k + y).at n=42A268647
• Expansion of e.g.f. (1 + x)^3*log(1 + x).at n=15A274266
• a(0) = 0; for n>0, a(n) = 6*n!.at n=12A298881
• Number of ways to fill a matrix with the first n positive integers.at n=12A323295
• a(n) = numerator((n!)^2/(2*(n-2)!*n^n)).at n=11A370200
• E.g.f. satisfies A(x) = exp( x^3*A(x)^3 * (1 + x*A(x)) ).at n=11A376477