45296

Appears in sequences

• Expansion of (1 - x)/(1 - 2*x - 2*x^2 - x^3).at n=11A077995
• Sum of smallest parts (counted with multiplicity) of all partitions of n.at n=31A092309
• a(n) = (n! - 2^n)/8, n >= 4.at n=5A123367
• a(n) is the total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3, for 0 <= k <= 3n.at n=4A144416
• Array T(n,k) (n >= 1, k >= 0) read by downwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., i] into exactly k nonempty blocks, each of size at most n, for any i in the range n <= i <= k*n.at n=23A144510
• Array read by upwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2, ..., k+1, for 0 <= k <= (k+1)*n.at n=25A144512
• a(n) = Sum_{i=1..n} Sum_{j=1..n} Sum_{k=1..n} Sum_{l=1..n} (i+j+k+l)!/(4!*i!*j!*k!*l!).at n=3A144662
• Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. .at n=33A286798
• Triangle read by rows. The incomplete Bell transform of the swinging factorials A056040.at n=48A352363