95401

Properties

Appears in sequences

• a(n) = Sum_{k=0..n} (k!)^2 * Stirling_2(n,k)^2.at n=5A048144
• Number of permutations satisfying i-4<=p(i)<=i+4, i=1..n (permutations of length n within distance 4).at n=10A072856
• G.f.: Product_{k>0} (1+x^k)/((1-x^k)*(1+x^(3k))*(1+x^(5k))).at n=34A100823
• Triangle read by rows: T(n,m) = Sum_{i=0..m} Stirling2(m+1,i+1)*(-1)^(m-i)*i^(n-m)*i!, for n >= 2, m = 1..n-1.at n=40A272644
• a(n) = largest term in row n of array in A272644.at n=8A272645
• Triangle read by rows: chromatic invariant T(n,m) of the complete bipartite graph K_{m,n}.at n=20A291774
• Largest prime with strictly ascending consecutive digits in base n.at n=10A344549
• Array read by antidiagonals: The number of parades with n girls and k boys that begin with a girl and end with a boy.at n=60A371761
• Prime numbersat n=9196