24955

Appears in sequences

• Expansion of (1-x^5) / (1-x)^5.at n=31A008487
• Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice.at n=6A038172
• Denominators of continued fraction convergents to sqrt(415).at n=11A041789
• Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-3)/3.at n=31A048031
• G.f.: 12/(5 + 7*sqrt(1-24*x)).at n=4A130978
• Expansion of c(6*x^2)/(1-x*c(6*x^2)), where c(x) is the g.f. of A000108.at n=8A132373
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, -1), (1, 1, -1), (1, 1, 1)}.at n=8A149649
• a(n) = number of primes p, p <= 2^n, where 2^n + p is prime.at n=22A175147
• a(n) = 12spt(n) + (24n - 1)p(n), with a(0) = -1.at n=12A220481
• a(n) = A351477(n) * FA where F is the Fermat point of a primitive integer-sided triangle ABC with A < B < C < 2*Pi/3 and FA + FB + FC = A336329(n).at n=33A351801