408408

Appears in sequences

• Third derivative of Catalan generating function/3!.at n=6A030060
• Number of symmetric nonnegative integer 8 X 8 matrices with sum of elements equal to 4*n, under action of dihedral group D_4.at n=20A054498
• 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=41A065077
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by the n-th Catalan number (A000108).at n=48A085880
• Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by the n-th Catalan number (A000108).at n=51A085880
• Numbers that can be expressed as the difference of the squares of primes in exactly sixteen distinct ways.at n=2A092012
• Denominator of partial sums of a certain series.at n=7A101029
• Denominators of third-order harmonic numbers (defined by Conway and Guy, 1996).at n=17A124838
• Denominator of Sum_{k=1..n} k*H_{n+k} where H_m = Sum_{i=1..m} 1/i.at n=19A144655
• a(n) = (n^5 - n)/10, which is always an integer.at n=20A164938
• Numbers with prime factorization p*q*r*s*t*u^3 (where p, q, r, s, t, u are distinct primes).at n=24A190378
• Denominators of the probability of success in sultan's dowry problem with n daughters.at n=16A226243
• a(n) = 21*binomial(n+6,7).at n=11A266733
• Numbers n such that the multiplicative group modulo n is the direct product of 7 cyclic groups.at n=26A272597
• a(n) = (18*n)!*(2*n)!/((9*n)!*(6*n)!*(5*n)!).at n=1A295445
• a(n) = (6*n)!*(2*n/3)!/((3*n)!*(2*n)!*(5*n/3)!).at n=3A364175