44254

Appears in sequences

• Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={3,4}.at n=18A079958
• a(n) = (4*n^3 + n^2 - 3*n)/2.at n=28A172073
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 201", based on the 5-celled von Neumann neighborhood.at n=41A270722
• Number of compositions (ordered partitions) of n into squarefree divisors of n.at n=18A284464
• Expansion of Product_{k>=1} (1 + x^k)^(3*k*(k-1)/2+1).at n=12A295180
• a(n) is the smallest m for which binomial(m,5) has exactly n distinct prime factors.at n=13A322158
• A331757(n)/2.at n=22A331758
• This sequence satisfies: n = Sum_{k=0..n} ((-n)^(n - k)*binomial(n, k)*a(k)).at n=7A376551