44280

Appears in sequences

• a(n) = n*(n+1)*(2*n+1)/3.at n=40A006331
• Numbers having four 6's in base 9.at n=24A043480
• Lengths of successive generations of the Kolakoski sequence A000002.at n=24A054352
• a(0)=1; a(n) = sigma_1(n) + sigma_3(n).at n=34A092345
• Number of permissible patterns of primes in a fixed interval of n consecutive integers.at n=41A094660
• Numbers with no 1's in base 3, 4 & 10 expansions.at n=36A117564
• Moment of inertia of all magic squares of order n.at n=7A126275
• Numbers with prime factorization p*q*r^3*s^3 (where p, q, r, s are distinct primes).at n=21A190108
• Number of rooted fullerenes with n faces, where "rooted" means that one triple (v,e,f) is distinguished, where v is a vertex, e is an edge on that vertex and f is a face on that edge.at n=14A203977
• Numbers n such that n * (x-1)/x produces a rotation of the digits in n for some value of x.at n=30A288626
• Sum of the areas of the squares on the sides of the distinct rectangles that can be made with positive integer sides such that L + W = n, W < L.at n=40A294473
• Triangle read by rows: T(n,0) = 0 for n >= 0; T(n,2*k+1) = A152842(2*n,2*(n-k)) and T(n,2*k) = A152842(2*n,2*(n-k)+1) for n >= k > 0.at n=46A299989
• Total area of all rectangles of size p X q such that p + q = n^2 and p <= q.at n=8A303120
• Triangular array read by rows: row n shows the coefficients of the polynomial p(x,n) constructed as in Comments; these polynomials form a strong divisibility sequence.at n=37A327321
• Numbers k such that the sum of the norm of divisors of k in Gaussian integers is divisible by k.at n=38A332736
• Expansion of e.g.f. 1/(1 - (exp(x^2) - 1)/x)^3.at n=6A375811