369600

Appears in sequences

• a(n) = (4*n)!/(n!)^4.at n=3A008977
• a(n) = (3n)!/(6^n).at n=4A014606
• Multinomial coefficient n!/ ([n/4]!, [(n+1)/4]!, [(n+2)/4]!, [(n+3)/4]!).at n=12A022917
• Square array read by antidiagonals of number of ways of dividing n*k labeled items into n labeled boxes with k items in each box.at n=18A060538
• 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=24A069466
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3*p-2, where a(i,p) satisfies Sum_{i=1..n} C(i+2,3)^p = 4 * C(n+3,4) * Sum_{i=1..3*p-2} a(i,p) * C(n-1,i-1)/(i+3).at n=34A087107
• Table T(n,k), 0<=k, 0<=n, read by antidiagonals, defined by T(n,k) = (k*n)! / (n!)^k.at n=31A089759
• Denominators used in A090219 to compute formula for column sequences of array A078741.at n=12A090220
• Denominators of the coefficients of a power series for the canonical half-exponential function.at n=24A091737
• Duplicate of A069466.at n=24A141902
• Triangle t(n,m) = (n*m)!/(m!^n) read by rows, 0<=m<=n.at n=13A141906
• a(n) = 361*n^2 - 2*n.at n=31A158307
• a(1) = 1; for n > 1, a(n) = sigma(sum of the previous terms) where sigma(k) = sum of the divisors of k.at n=18A165929
• Number of 3*n X n 0..1 arrays with row sums 3 and column sums 9.at n=3A172563
• Number of 4*n X 12 0..1 arrays with row sums 3 and column sums n.at n=0A172582
• Number of 3*n X n 0..2 arrays with row sums 7 and column sums 21.at n=3A172666
• Number of 4*n X 12 0..2 arrays with row sums 3 and column sums n.at n=0A172682
• Number of 4*n X 12 0..3 arrays with row sums 3 and column sums n.at n=0A172778
• Number of permutations of 3 copies of 1..n with all adjacent differences <= 3 in absolute value.at n=4A177293
• Number of permutations of 3 copies of 1..n with all adjacent differences <= 4 in absolute value.at n=4A177294