44880

Appears in sequences

• a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).at n=35A011938
• Least k such that the least factor of k^Phi(k) -1 is the n-th prime.at n=9A066732
• Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=9.at n=38A135194
• The fourth row of the ED2 array A167560.at n=21A167561
• Numbers with prime factorization p*q*r*s*t^4 (where p, q, r, s, t are distinct primes).at n=6A190110
• Number of 4 X n 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=7A208380
• Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z.at n=33A212522
• G.f.: exp( Sum_{n>=1} (sigma(2*n) - sigma(n))*Lucas(n)*x^n/n ), where Lucas(n) = A000204(n) and sigma(n) = A000203(n) is the sum of divisors of n.at n=11A225524
• Integer areas A of integer-sided cyclic quadrilaterals such that the circumradius is of prime length.at n=19A230136
• T(n,k)=Number of length n+4 0..k arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=28A249844
• Number of length 1+4 0..n arrays with no five consecutive terms having the maximum of any two terms equal to the minimum of the remaining three terms.at n=7A249845
• The magic constants of most-perfect magic squares of order 8 composed of distinct prime numbers.at n=5A259733
• Numbers n such that the multiplicative group modulo n is the direct product of 6 cyclic groups.at n=40A272596
• Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section.at n=51A287030
• a(n) is the maximum value of the quartet index of a bifurcating rooted tree with n leaves.at n=40A300445
• Expansion of 30*x*(1 + x) / (1 - x)^4.at n=15A316459
• Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows.at n=43A326914
• Number T(n,k) of colored integer partitions of n using all colors of a k-set such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order; triangle T(n,k), k>=0, k<=n<=k*2^(k-1), read by columns.at n=50A326962
• Pythagorean triples (X, Y, Z) that are the componentwise products of 2 primitive Pythagorean triples (x,y,z) and (r,s,t), that is, X=x*r, Y=y*s, ordered by increasing Z.at n=13A340790