126126

Appears in sequences

• 4-dimensional figurate numbers: a(n) = (6*n-2)*binomial(n+2,3)/4.at n=25A002419
• a(n) = (3*n)! / ((n+1)*(n!)^3).at n=5A007004
• Number of partitions of { 1, 2, ..., 5n } into sets of size 5.at n=3A025037
• Triangle of Stirling numbers of order 5.at n=17A059024
• Square array read by antidiagonals downwards: T(n,k) = (n*k)!/(k!^n*n!), (n>=1, k>=1), the number of ways of dividing nk labeled items into n unlabeled boxes with k items in each box.at n=23A060540
• a(n) = (1/6)*multinomial(3*n;n,n,n).at n=4A060542
• Trace of Vandermonde matrix of numbers 1,2,...,n, i.e., the matrix A with A[i,j] = i^(j-1), 1 <= i <= n, 1 <= j <= n.at n=6A060946
• Coefficient triangle of certain polynomials N(5; m,x).at n=49A062190
• a(n) = 42*binomial(n,10).at n=15A088626
• Triangle read by rows: T(n,k)=(1/2)*C(n+k,k)*C(n,n-k).at n=40A092370
• Triangle read by rows: T(n, k) = binomial(n, k) * binomial(n+k, n-k).at n=40A092371
• a(n) = binomial(n+5, n)*binomial(n+10, n).at n=4A104673
• a(n) = binomial(n+4,4) * binomial(n+9,4).at n=5A104678
• C(1+2*n,1+n)*C(6+2*n,0+n).at n=4A114201
• Number of ways to design a set of three n-sided dice (using nonnegative integers) such that summing the faces can give any integer from 0 to n^3 - 1.at n=31A131514
• Late-growing permutations: number of permutations of 5 indistinguishable copies of 1..n with every partial sum <= the same partial sum averaged over all permutations.at n=2A147687
• Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4 or 5 (n >= 0, 0 <= k <= 5n).at n=32A151338
• Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4 or 5 (n >= 0, 0 <= k <= 5n).at n=33A151338
• Triangle T(n,k) = binomial(n,k)*binomial(n+k+1,n+1) read by rows, 0 <= k <= n.at n=49A178301
• Number of nX1 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to two or fewer horizontal or vertical neighbors.at n=13A199094