46558512

Appears in sequences

• a(n) = (4*n)! / ((2*n)!*n!^2).at n=5A000897
• Multinomial coefficient n!/([n/3]![(n+1)/3]![(n+2)/3]!).at n=19A022916
• Denominator of the n-th alternating harmonic number, Sum_{k=1..n} (-1)^(k+1)/k.at n=18A058312
• Denominators of Sum_{k=1..n} 1/lcm(n,k).at n=19A074949
• Max{ k!/(a(1)!*a(2)!*..*a(n)!) : a(1) + 2*a(2) + 3*a(3) + ... + n*a(n) = n, a(1) + a(2) + ... + a(n) = k }.at n=33A102462
• a(n) = C(n+5,5)*C(n+10,5).at n=10A104679
• a(n) = C(5+2*n,5+n)*C(10+2*n,0+n).at n=5A114253
• a(n) = (n + n^2)*binomial(2*n,n)/2.at n=11A119578
• Denominator of the polynomial A_l(x) = sum_{d=1..l-1} x^(l-d)/d for index l=2n+1 evaluated at x=5.at n=9A145618
• Number of n X 2 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 no element equal to any horizontal or vertical neighbor.at n=18A199127
• Denominators of s(i) = s(i-1) - (1/i)*sign(s(i-1)) with s(1) = 1.at n=18A203811
• Denominator of smallest nonnegative fraction of form +- 1 +- 1/2 +- 1/3 ... +- 1/n.at n=22A232112
• a(n) = hypergeom([-n, -n], [1], 1) * n! / (floor(n/2)!)^2.at n=10A295864
• a(n) is the denominator of the rational part of Sum_{k>=n} binomial(2*k,k-n)^(-1).at n=12A309001
• a(n) is the period of the periodic k-sequence q_k=lcm(k+1,k+2,...,k+n)/(n*binomial(k+n,n)).at n=19A319404
• Numbers that occur exactly 5 times in A036038, i.e., numbers m such that the multinomial coefficient (x_1 + ... + x_k)!/(x_1! * ... * x_k!) is equal to m for exactly 5 integer partitions (x_1, ..., x_k).at n=23A376375
• Positive integers whose maximum frequency in a fixed row of A036038 (or A078760) is equal to 3, i.e., numbers m such that A376663(m) = 3.at n=18A376670