72060

Appears in sequences

• Theta series of direct sum of 5 copies of hexagonal lattice.at n=7A008656
• Triangle of numbers relating two sequences A073155 and A073156.at n=44A073153
• Main diagonal sequence of triangle A073153.at n=8A073156
• G.f.: A(x) = 1 + x*B(x), where B(x) = 1 + x^2*C(x)^2, C(x) = 1 + x^3*D(x)^3, D(x) = 1 + x^4*E(x)^4, ...at n=40A228866
• a(n) = (1/2) * Sum_{|k|<=2*sqrt(p)} k^6*H(4*p-k^2) where H() is the Hurwitz class number and p is the n-th prime.at n=4A297492
• Number of colored integer partitions of n using all colors of a 3-set such that a color pattern for part i has i distinct colors in increasing order.at n=24A327842
• Triangle read by rows: T(n, k) = n * k * (T(n-1, k-1) + T(n-1, k)) for k > 0 with initial values T(n, 0) = 1 and T(i, j) = 0 for j > i.at n=23A371898