823680

Appears in sequences

• Apéry numbers: a(n) = n^2*C(2n,n).at n=8A002736
• Triangle T(n, k) of numbers of square lattice walks that start and end at origin after 2*n steps and contain exactly k steps to the east, possibly touching origin at intermediate stages.at n=37A069466
• Triangle T(n, k) of numbers of square lattice walks that start and end at origin after 2*n steps and contain exactly k steps to the east, possibly touching origin at intermediate stages.at n=43A069466
• a(n) = 2^(n-1)*binomial(2*n-1, n).at n=7A069720
• A transform of C(n,7).at n=8A082141
• E.g.f. BesselI(0,2*sqrt(2)*x) + BesselI(1,2*sqrt(2)*x)/sqrt(2).at n=15A098660
• If X_1,...,X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 7-subsets of X containing none of X_i, (i=1,...n).at n=8A130813
• a(n) = binomial(n+8,8) * 2^n.at n=7A140325
• Duplicate of A069466.at n=37A141902
• Number of permutations p() of 1..n+2 with centered difference p(i+1)-p(i-1) < 0 exactly once.at n=11A180879
• 1/32 the number of (n+1) X 9 binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.at n=1A183771
• T(n,k) = 1/32 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.at n=37A183772
• T(n,k) = 1/32 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sum mod two being 0 and 1.at n=43A183772
• 8-quantum transitions in systems of N >= 8 spin 1/2 particles, in columns by combination indices.at n=16A213350
• Denominators of sqrt(2) * Integral_{x=0..sqrt(1/3)} 1/(1-x^2)^(n+3/2) dx.at n=7A256442
• A double binomial sum involving absolute values.at n=4A268149
• a(0) = 1; for n >= 1, a(n) = A059897(n, a(n-1)).at n=16A284567
• Triangle read by rows: T(n,k) = number of colored weighted Motzkin paths ending at (n,k).at n=28A293172
• Triangle read by rows: T(n,k) is the number of oriented graphs on n labeled nodes with k arcs, n >= 0, k = 0..n*(n-1)/2.at n=33A350749
• Number of permutations of [n] with distinct cycle lengths such that each cycle contains exactly one cycle length as an element.at n=10A364281