1330560

Appears in sequences

• Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=5.at n=8A050213
• Expansion of e.g.f. 1 - x - sqrt(1-4*x).at n=7A052718
• Number of labeled n-node 4-valent graphs containing two adjacent double edges.at n=9A058832
• Decomposition of Stirling's S(n,2) based on associated numeric partitions.at n=30A058936
• a(n) = n!/A000793(n).at n=11A074115
• Denominator of coefficients of power series for exp(exp(x)-1).at n=11A076904
• a(n) = (4*n + 1)*n!.at n=8A082034
• a(1) = 1. For n >= 2, a(n) = sum of the two (not necessarily distinct) earlier terms, a(j) and a(k), which maximizes d(a(j)+a(k)), where d(m) is the number of positive divisors of m. a(n) = the maximum (a(j)+a(k)) if more than one such sum has the maximum number of divisors.at n=25A115386
• T(n,k) is the number of permutations of [n] with maximum descent k, T(n,k) for n >= 0 and 0 <= k <= n, triangle read by rows.at n=62A130477
• Ratio of (2n-1)! to number of zeros in upper part of Sylvester matrix of polynomial of degree n with all nonzero coefficients.at n=4A138897
• Triangle T(n, k) = H(n, k+1) - 2*H(n, k) - H(n, k-1), where H(n, k) = A060821(n+3, k), read by rows.at n=28A140873
• a(n) = 2*(2*n)!/n!.at n=6A151817
• Triangle of the RBS1 polynomial coefficients.at n=26A160485
• Product{k|n} k$. Here '$' denotes the swinging factorial function (A056040).at n=12A163087
• a(n) = (2*n+1)!*(2*n+3)/3.at n=4A165457
• Numbers that set a record for number of even divisors: a(n) = 2*A002182(n).at n=36A181808
• a(n) = Pell(n)*A000118(n) for n>=1 with a(0)=1, where A000118(n) is the number of ways of writing n as a sum of 4 squares.at n=12A209443
• Number of length-n 0..5 arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree").at n=8A215225
• Irregular triangular array read by rows. T(n,k) is the number of n-permutations with exactly k distinct cycle lengths; n>=1, 1<=k<=floor( (-1+(1+8n)^(1/2))/2 ).at n=27A224211
• Numbers disqualified from being in A019505 for not being the smallest number with their respective number of divisors.at n=6A241813