33824

Appears in sequences

• Theta series of A_7 lattice.at n=13A008447
• a(n) = n^3 + n^2 + n.at n=32A027444
• Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... .at n=61A049346
• a(n) = 2^n + 4^n + 8^n.at n=5A074535
• Quadruples a>b>c>d>0 such that six pairwise sums and the total sum are all squares.at n=26A175535
• Number of sets of four points on an n X n grid (or geoboard), exactly three of which are collinear.at n=6A189346
• Number of regions in a complete but borderless regular polygon.at n=27A191101
• G.f. satisfies: A(x) = Sum_{n>=0} A(x)^n * x^(n*(n+1)/2) * (1 - x^(n+1))/(1 - x).at n=13A199410
• Expansion of e.g.f.: 1/(cos(x) - x).at n=7A200309
• Number of nX2 0..2 arrays with exactly floor(nX2/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=11A223028
• Number of nX2 0..2 arrays with no more than floor(nX2/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=11A223468
• G.f.: 1/G(0) where G(k) = 1 + (-q)^(k+1) / (1 - (-q)^(k+1)/G(k+1) ).at n=61A227310
• Numbers n such that n and n+1 both have 24 divisors.at n=10A274362
• Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=7A301526
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=47A301531
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=52A301531
• Numbers m such that the sum of the first m primes as well as the sum of the squares and the sum of the cubes of the first m primes are all prime.at n=8A329539
• Numbers k such that k and k+1 are both phi-practical numbers (A260653).at n=36A330871
• Expansion of (1/2) * Sum_{k>0} (2 * x * (1 + x^k))^k.at n=15A360755