31232

Appears in sequences

• Expansion of e.g.f. arctan(sinh(x) * exp(x)).at n=10A012520
• Gaps of 4 in sequence A038593 (upper terms).at n=3A038648
• Number of subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor.at n=30A084422
• (1,1) entry of powers of the orthogonal design shown below.at n=9A087621
• Sum of the squares of numbers of chess tableaux over all partitions of n.at n=12A108774
• Numbers of the form p^9*q where p and q are distinct primes.at n=16A179692
• Number of subsets of {1, 2, ..., n} containing n and having pairwise coprime elements; also row sums of A186972.at n=30A186973
• Number of (n+2)X4 0..1 matrices with each 3X3 subblock having the same population.at n=4A224645
• Number of (n+2)X7 0..1 matrices with each 3X3 subblock having the same population.at n=1A224648
• T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population.at n=16A224651
• T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population.at n=19A224651
• Number of defective 4-colorings of an n X 2 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.at n=6A229473
• Number of defective 4-colorings of an n X 7 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.at n=1A229478
• T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.at n=29A229479
• T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, antidiagonally and vertically with exactly one mistake, and colors introduced in row-major 0..3 order.at n=34A229479
• Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 237", based on the 5-celled von Neumann neighborhood.at n=14A280140
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 475", based on the 5-celled von Neumann neighborhood.at n=14A288501
• Integers with precisely eight partitions into sums of four squares of nonnegative numbers.at n=39A294309
• Number of n X 2 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.at n=9A296582
• Number of total dominating sets in the n-triangular (Johnson) graph.at n=4A303048