18116

Appears in sequences

• Number of planar partitions of n decreasing across rows.at n=22A003293
• Expansion of 2*x^4 / (1 - 11*x + 45*x^2 - 80*x^3 + 49*x^4).at n=8A123960
• Number of binary strings of length n with equal numbers of 01001 and 01101 substrings.at n=15A164258
• Number of partitions of n such that some part is a sum of two other parts.at n=37A237113
• Expansion of f(x^3, x^9) * f(x^6, x^6) / f(-x, -x^2) in powers of x where f(,) is Ramanujan's general theta function.at n=31A257655
• Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step patterns 010 or 101, where 1=up and 0=down; triangle T(n,k), n >= 0, k = max(0, n-3), read by rows.at n=29A295987
• Number of Motzkin trees that are a "uniquely typable skeleton".at n=19A300130
• E.g.f. satisfies A(x) = exp( x*A(x)/(1 - x * A(x)^2) ).at n=5A365012
• Expansion of Product_{i>=1, j>=0} (1 + x^(i * 6^j)).at n=57A373220
• a(n) is the number of sets of distinct four-cuboid combinations that fill an n X n X n cube excluding combinations that contain cube-shaped cuboids.at n=26A386756