7759752

Appears in sequences

• Apéry numbers: n*C(2*n,n).at n=11A005430
• Triangle read by rows: T(n,k) = (2 * (binomial(n,k)) * (n + 2 * k + 3)!)/((k + 1)! * (k + 2)! * (n + 3)!).at n=33A087727
• a(n) = 42*binomial(n,10).at n=20A088626
• Number of peaks at even level in all symmetric Dyck paths of semilength n+2.at n=21A088662
• Numbers that can be expressed as the difference of the squares of primes in exactly twenty-three distinct ways.at n=2A092019
• a(n) = n * binomial(n-1, floor((n-1)/2)) = n * max_{i=0..n} binomial(n-1, i).at n=22A100071
• Denominator of partial sums of a certain series.at n=8A101029
• Number of standard Young tableaux of type (n+1,n,n-1).at n=7A123555
• a(n) = n!/([(n-1)/2]!*[(n+1)/2]!) for n>0, a(0)=0, and where [ ] = floor.at n=22A212303
• Denominator of the average number of move operations required by an insertion sort of n (distinct) elements.at n=20A212397
• Number of alternating permutations on 2n+1 letters that avoid a certain pattern of length 4 (see Lewis, 2012, Appendix, for precise definition).at n=7A217799
• Number of profiles in domino tiling of a 2*n checkboard.at n=22A218073
• Expansion of (1 + 2*x)/(1 + 4*x^2)^(3/2).at n=21A331552
• a(n) = [x^n] hypergeom([1/4, 3/4], [2], 64*x). The central terms of the Motzkin triangle A359364 without zeros.at n=5A359647
• a(n) = (6*n+1)!/(n!*(2*n)!*(3*n+1)!).at n=3A368513