57284

Appears in sequences

• Expansion of (1-x)/(1 - 3*x - 2*x^2).at n=9A104934
• T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors.at n=46A208709
• Number of balanced orbitals over n sectors.at n=21A241810
• Number of balanced orbitals over an odd number of sectors.at n=10A242087
• Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=6A252189
• Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7.at n=4A252191
• Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns.at n=34A316293
• a(n) = 4*3*2*1 + 8*7*6*5 + 12*11*10*9 + 16*15*14*13 + ... + (up to the n-th term).at n=16A319868
• Slice of elementary triangular automaton rule 58, starting from a lone 1 cell.at n=15A384363