24220

Appears in sequences

• a(n) = n^3 + 6*n^2 + 6*n + 1.at n=27A090197
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+809)^2 = y^2.at n=7A123654
• Ulam's spiral (NNE spoke).at n=39A143861
• Elias omega coded prime numbers represented in decimal.at n=38A147764
• a(n) = A000984(n)*A000172(n), which is the term-wise product of the Central binomial coefficients and Franel numbers, respectively.at n=4A181418
• Even dodecagonal numbers: a(n) = 4*n*(5*n - 2).at n=35A193872
• Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>2n.at n=29A211644
• Number of ordered triples (w,x,y) with all terms in {1,...,n} and w^2+x^2+y^2>=2n.at n=29A211645
• Number of ways to reciprocally link elements of an n X 2 array either to themselves or to exactly two king-move neighbors, without 3-loops.at n=7A220647
• T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two king-move neighbors, without 3-loops.at n=37A220652
• T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two king-move neighbors, without 3-loops.at n=43A220652
• Number of ways to remove n oranges from an infinite stack of oranges whose m-th layer is an m X (m+2) rectangle.at n=13A274596
• Numbers with a minimum of 6 polygonal roots, excluding itself.at n=25A275256
• Numbers that have exactly 7 representations as a k-gonal number, P(n,k) = n*((k-2)*n - (k-4))/2, k and n >= 3.at n=3A321157
• a(1) = 1; a(n) = Sum_{d|n, d < n} binomial(n,d) * a(d).at n=13A345136
• E.g.f. A(x) satisfies A(x) = 1 + 2 * x * A(1 - exp(-x)).at n=7A355102