25700

Appears in sequences

• Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^8)*(1-x^9)*(1-x^10)).at n=27A069956
• Number of permutations of floor(i*8/7), i=0..n-1, with all sums of 2 through 4 adjacent terms respectively unique.at n=8A147940
• Number of permutations of floor(i*8/7), i=0..n-1, with all sums of 2 through 5 adjacent terms respectively unique.at n=8A147949
• Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=8A155225
• A triangle sequence of polynomial coefficients:p(x,n)=Sum[Eulerian[n+1, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}].at n=26A174860
• Numbers k such that Bernoulli number B_{k} has denominator 33330.at n=5A295589
• For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property.at n=32A326640
• a(n) is the number of distinct solution sets to the quadratic equations u*x^2 + v*x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant.at n=40A379597