30228

Appears in sequences

• Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial inverse. Triangle read by rows. For n >= 0, k >= 0.at n=33A163772
• Triangle of coefficients of polynomials v(n,x) jointly generated with A209162; see the Formula section.at n=51A209163
• Number of subsets of {1,...,n} containing n and having at least one set partition into 7 blocks with equal element sum.at n=10A248116
• A255298(2^n-1).at n=8A255299
• Expansion of Product_{k>0} 1/(1 + x^k)^(k*4).at n=24A279411
• The first Zagreb index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1).at n=29A292344
• Number of permutations of length n whose powers all avoid the pattern 321.at n=12A326760
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384680.at n=51A384681