116424

Appears in sequences

• a(n) = (2*n)!*(2*n+1)! /((n+1)! *n!^3).at n=5A000894
• Number of walks of length n on square lattice, starting at origin, staying in first quadrant.at n=10A005566
• Array read by antidiagonals: number of antichains (or order ideals) in the poset 3*m*n or plane partitions with rows <= m, columns <= n and entries <= 3.at n=49A056939
• Array read by antidiagonals: number of antichains (or order ideals) in the poset 3*m*n or plane partitions with rows <= m, columns <= n and entries <= 3.at n=50A056939
• Number of antichains (or order ideals) in the poset 4*m*n or plane partitions with at most m rows and n columns and entries <= 4.at n=39A056940
• Number of antichains (or order ideals) in the poset 4*m*n or plane partitions with at most m rows and n columns and entries <= 4.at n=41A056940
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=31A056941
• Number of antichains (or order ideals) in the poset 5*m*n or plane partitions with not more than m rows, n columns and entries <= 5.at n=32A056941
• Number of ways to tile hexagon of edges n, n+1, n+2, n, n+1, n+2 with diamonds of side 1.at n=3A071096
• a(n) = binomial(n+4,4)*binomial(n+5,4)*binomial(n+6,4)/75.at n=5A107915
• a(n) = (n^2+n^3)*(binomial(2*n,n))/2.at n=6A119582
• Triangle of Hankel transforms of binomial(n+k, k).at n=32A120247
• Triangle of Hankel transforms of binomial(n+k, k).at n=39A120247
• Number of 3 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,5,n can be permuted, see formula.at n=4A140901
• Number of 4 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,5,n can be permuted, see formula.at n=3A140902
• Number of permutations of 1..n with the sequence of sums of 2 adjacent elements having exactly 5 maxima.at n=2A179714
• Number of one-sided prudent walks from (0,0) to (n,n), with 4+n east steps, 4 west steps and n north steps.at n=5A189770
• Numbers with prime factorization pq^2r^3s^3.at n=9A190320
• Numbers k, excluding primes and squares of primes, such that gcd(k, numerator of H(k-1)) > 1, where the harmonic number H(j) = Sum_{i=1..j} 1/i.at n=5A228810
• Triangle T(i,j) read by rows: Number of plane bipolar orientations with i+1 vertices and j+1 faces.at n=19A296419