30800

Appears in sequences

• 4-dimensional figurate numbers: a(n) = n*binomial(n+2, 3).at n=19A002417
• Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=38A002624
• a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.at n=39A011934
• Expansion of e.g.f.: sec(sinh(x)*log(x+1))=1+12/4!*x^4-60/5!*x^5+450/6!*x^6-2940/7!*x^7...at n=8A012517
• Jacobi form of weight 12 and index 1 associated with a nonexistent Niemeier lattice of Coxeter number 11.at n=7A056950
• Triangle T(n,k) of number of minimal 4-covers of a labeled n-set that cover k points of that set uniquely (k=4,..,n).at n=13A057965
• Denominators used in A090219 to compute formula for column sequences of array A078741.at n=11A090220
• Bisection of A002417.at n=9A100431
• Number of divisors of 240^n.at n=19A103532
• Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.at n=29A112536
• Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n, having k ascents of length at least 2 (1 <= k <= floor(n/2), n >= 2).at n=33A114593
• Triangle read by rows: T(n,k) is the number of set partitions of the set {1,2,...,n} (or of any n-set) containing k blocks of size 3 (0<=k<=floor(n/3)).at n=29A124503
• Triangle T, read by rows, where T(n,k) = Sum_{j=1..n-k-1} [T^j](n-1,k) with T(n+1,n) = n+1 and T(n,n)=0 for n>=0, where T^n denotes the n-th matrix power of T.at n=37A132623
• Triangle T, read by rows, where T(n,k) = A008544(n-k)*C(n,k) where A008544 equals the triple factorials in column 0.at n=31A136216
• Triangle T(n, k) = coefficients of (p(x,n)), where p(x, n) = (n-1)! * Sum_{j=1..n} A142458(n, j)*binomial(x+j-1, n-1), read by rows.at n=19A168295
• a(n) = (9*n+4)*(9*n+5).at n=19A177073
• a(n) = denominator( n^n/(2*n)! ).at n=6A244084
• 25-gonal pyramidal numbers: a(n) = n*(n+1)*(23*n-20)/6.at n=20A256645
• Expansion of (phi(q) / phi(q^3))^2 in powers of q where phi() is a Ramanujan theta function.at n=43A261321
• a(n) = numerator(R(n,3)), where R(n,d) = (Product_{j prime to d} Pochhammer(j/d, n)) / n!.at n=4A273194