31856

Appears in sequences

• Number of isomorphism classes of connected 3-regular (trivalent, cubic) loopless multigraphs of order 2n.at n=7A000421
• a(n) = (7*n+1)*(7*n+6).at n=25A001526
• a(n) = ceiling((n + 7/10)^3).at n=30A034133
• Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_4^6.at n=7A055763
• a(n) = (5*n+1)*(5*n+6).at n=35A085025
• Number of planar Langford sequences.at n=22A125762
• Number of nX2 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=22A166796
• Number of line segments connecting exactly 4 points in an n x n grid of points.at n=30A177720
• Expansion of e.g.f. z*(2*(exp(z) + 1)/(cosh(z) + cos(z)) - 1).at n=11A281588
• Number of distinct products i*j*k*l*m for 1 <= i <= j <= k <= l <= m <= n.at n=29A284988
• a(n) = n*(2*n - 3 - (-1)^n)*(11*n + (-1)^n)/24.at n=32A308026
• Number of set partitions of [n] with distinct block sizes and one of the block sizes is 1.at n=11A327876
• Triangle T(n,d) read by rows: the number of mixed trees with n>=1 nodes and 0<=d<n arcs.at n=42A335362
• Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+2,3).at n=43A344203