69300
domain: N
Appears in sequences
- Denominator of Sum_{i+j+k=n; i,j,k > 0} 1/(i*j*k).at n=10A002546
- Leading least prime signatures: a(n) is in A025487 but a(n)/2 is not.at n=26A056153
- Leading least prime signatures, ordered by forming the product of primorials greater than 2 with multiplicities given by the canonical sequence of partitions.at n=21A062515
- Triangle of coefficients of Bessel polynomials {y_n(x)}'.at n=24A065931
- Triangle of coefficients of Bessel polynomials {y_n(x)}''.at n=18A065943
- Non-palindromic numbers such that either x=q1.Rev[x] or Rev[x]=q2.x, where R[x]=A004086[x] and q1 or q2 are integers not divisible by 10.at n=29A071687
- Triangle of binomial(n,k)*(binomial(n+k,k)-binomial(n+k-2,k-1)).at n=49A080721
- Least m such that A080256(m)=n and has a maximum number A000792(n) of divisors.at n=11A087902
- Triangle of numbers related to triangle A092083; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297, ...at n=17A092082
- Problem 66 in Knuth's Art of Computer Programming, vol. 4, section 7.2.1.5 asks which integer partition of n produces the most set partitions. The n-th term of this sequence is the number of set partitions produced by that integer partition.at n=11A102356
- a(n) = binomial(n+2,2)*binomial(n+5,2).at n=20A105938
- a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)^2*(n+5)*(2n+3)/8640.at n=6A107943
- Decagonal numbers divisible by 10.at n=27A117797
- Triangle read by rows: T(i,j) = F(i)*F(j)*C(i,j) for 1 <= j <= i, where F(n) is the n-th Fibonacci number and C(n,m) is a binomial coefficient.at n=49A117965
- Triangle read by rows: T(n,d) = (n!/d!)*(n+1)*binomial(2n-d+1,n+1)/(n-d+1) (0 <= d <= n).at n=32A123225
- Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} (or of any n-set) having k blocks of even size (0<=k<=floor(n/2)).at n=40A124322
- Numbers that are products of distinct primorial numbers (see A002110).at n=21A129912
- Denominator of Sum_{k=1..n} (-1)^k / semiprime(k).at n=8A140123
- a(n) = smallest k such that A141501(k) = 2*n+1.at n=27A143474
- Tetrahedron of numbers T(i,j,k) = (i+2*j+3*k)!/(i!*j!*k!*2^j*6^k) read with entries in the order defined in A144625.at n=48A144626