32384

Appears in sequences

• arcsin(arctanh(x)*cos(x))=x+8/5!*x^5+448/7!*x^7+32384/9!*x^9...at n=4A012740
• sin(tan(x)-arctanh(x))=-8/5!*x^5-448/7!*x^7-32384/9!*x^9...at n=2A013457
• T(2n-1,n-1), T given by A027157.at n=6A027161
• a(n) = T(n,[ n/2 ]), T given by A027157.at n=13A027163
• Maximization of sums of cubes of integer differences (b_[ i ]-i)^3 over permutations {b_[ i ], for i-1,2,...,n} on first n integers.at n=30A049031
• Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_1^24.at n=7A055766
• Expansion of (4 - 7*x + 2*x^2)/((1-2*x)*(1 - 2*x + 2*x^2)).at n=14A100215
• Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters.at n=22A102860
• One-fourth of partial sums of A153976.at n=21A153977
• Arises in enumerating Huffman codes, compact trees, and sums of unit fractions.at n=17A194631
• Number of (w,x,y,z) with all terms in {0,...,n} and even range.at n=15A212889
• Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=4A234220
• Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=0A234224
• T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=10A234227
• T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings).at n=14A234227
• Decimal representation of the n-th iteration of the "Rule 193" elementary cellular automaton starting with a single ON (black) cell.at n=7A267646
• Number of n X 6 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=4A275140
• T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=49A275142
• Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2.at n=5A275145
• 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 369", based on the 5-celled von Neumann neighborhood.at n=14A281517