1385670

Appears in sequences

• a(n) = (2*n+3)!/(6*n!*(n+1)!).at n=8A002802
• 3-dimensional Catalan numbers.at n=7A005789
• Expansion of (1-4*x)^(19/2).at n=8A020931
• Triangle read by rows giving number of ways to glue sides of a 2n-gon so as to produce a surface of genus g.at n=31A035309
• Squarefree kernel of lcm(binomial(n,0), ..., binomial(n,n)).at n=20A056606
• Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m*n in an m X n matrix so that each row and each column is increasing.at n=42A060854
• Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m*n in an m X n matrix so that each row and each column is increasing.at n=38A060854
• a(n) = (10n)!*n!/((5n)!*(4n)!*(2n)!).at n=2A061163
• Triangle read by rows: T(n,m) = C[n,m,m] where C[i,j,k] is the 3-dimensional Catalan pyramid defined by C[0,0,0]=1 and C[i,j,k]=0 if j>i or k>j and C[i,j,k]=C[i-1,j,k]+C[i,j-1,k]+C[i,j,k-1].at n=35A065077
• Triangle read by rows: T(n,k) = A002110(n)/prime(n+1-k), k = 1..n.at n=32A077011
• Triangle read by rows: T(n,k) = (2 * (binomial(n,k)) * (n + 2 * k + 3)!)/((k + 1)! * (k + 2)! * (n + 3)!).at n=27A087727
• First occurrence (*2) of n in A088627 - or - least number that yields n different primes if you factorize it in all possible ways in two factors and add these factors.at n=31A091350
• a(n) = ((5*n)!/(n!*(2*n)!))*(Gamma(1+n/2)/Gamma(1+5*n/2)).at n=4A091496
• Triangle read by rows: T(n,k) is the number of standard tableaux of shape (n,n,k) (0<=k<=n).at n=35A094236
• Triangle read by rows: T(n,k) is the number of standard tableaux of shape (n,n,k) (0<=k<=n).at n=34A094236
• Denominator of Sum_{k=0..n} 1/C(2*n,2*k).at n=10A100513
• Distinct values in A114717 in order of appearance.at n=22A119841
• Triangle T(n,k) read by rows: T(n,0) = A002110(n) and T(n,k) = A002110(n)/prime(k) for 1<=k<=n.at n=40A121281
• Products of 7 distinct primes (squarefree 7-almost primes).at n=19A123321
• a(n) = product of the first n primes which are coprime to n.at n=6A125903