25830

Appears in sequences

• Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=37A039849
• Number of 3-element intersecting families of an n-element set.at n=6A051180
• Triangle T(n,k) of numbers of k-covers of an unlabeled n-set, k=1..2^n-1.at n=32A055130
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3*p-2, where a(i,p) satisfies Sum_{i=1..n} C(i+2,3)^p = 4 * C(n+3,4) * Sum_{i=1..3*p-2} a(i,p) * C(n-1,i-1)/(i+3).at n=19A087107
• Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k valleys strictly above the x-axis (0<=k<=n-2; n>=2). A hill in a Dyck path is a peak at level 1.at n=60A119011
• Triangle read by rows: (1/5) * (A007318^4 - A007318^(-1)) as infinite lower triangular matrices.at n=40A131050
• a(n) is the number of the two-sided n-step prudent walks ending on the top side of their box, avoiding both patterns Left^k and Down^k for k>=3.at n=11A178035
• 41 times triangular numbers.at n=35A195038
• Row sums of an irregular triangle read by rows in which row n lists the next A026741(n+1) natural numbers A000027.at n=39A195309
• Degrees of irreducible representations of orthogonal group O8-(3).at n=24A214474
• Degrees of irreducible representations of orthogonal group O8-(3).at n=25A214474
• a(n) = Sum_{i=1..n} (3i)^2.at n=20A220443
• Numbers n such that there exists an x!=n that makes {n,n,x} an amicable multiset.at n=7A259302
• Numbers k such that 1/phi(x) + 1/phi(y) = 1/phi(k), for some x + y = k and phi(k) is the Euler totient function of k.at n=31A279621
• Abundant numbers n such that sigma(sigma(n) - 2*n) = sigma(n).at n=9A292365
• Sum of all the parts in the partitions of n into 6 squarefree parts.at n=45A308903
• Numbers m such that m^2+1 is prime with (m-1)^2+1 and (m+1)^2+1 semiprimes.at n=39A321795
• Numbers that occur in range of A324580.at n=50A324541
• a(n) = n * A276086(n).at n=41A324580
• Heinz number of the omega-sequence of n!.at n=9A325275