19805

Appears in sequences

• Number of partitions of n into at most 8 parts.at n=46A008637
• Denominators of continued fraction convergents to sqrt(317).at n=10A041599
• Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least k for which m^2+1=p(n)*k^2 has a solution.at n=30A094049
• Smallest integer y satisfying the Pell equation x^2 - n*y^2 = -1 for the values of n given in A031396.at n=56A130227
• Let spm(n) be the sum of all prime factors of n counted with multiplicities (A001414); sequence gives numbers n such that spm(n+spm(n)) divides both n and n+spm(n).at n=12A131564
• G.f.: Sum_{n>=0} (1 - (1-x)^n)^n.at n=6A220353
• Number of defective 4-colorings of an nX3 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order.at n=3A229667
• Number of defective 4-colorings of an n X 4 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order.at n=2A229668
• T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order.at n=17A229672
• T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly two mistakes, and colors introduced in row-major 0..3 order.at n=18A229672
• Floor(AGM(n^2, n^3)), where AGM denotes the arithmetic-geometric mean.at n=40A234362
• The growth series for the affine Weyl group F_4.at n=34A266784
• Numbers of the form p*q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1.at n=17A323271
• Regular triangle read by rows where T(n, k) is the number of set partitions of {1, ..., n} with no block containing k cyclically successive vertices, n >= 1, 2 <= k <= n + 1.at n=38A323955
• Expansion of (1/x) * Series_Reversion( x*(1-x)*(1-x^5) ).at n=10A366042