21792

Appears in sequences

• a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is n-th diagonal sum of left-justified array T given by A027011.at n=23A027022
• Table T(n,k), n>=1 and k>=0, read by antidiagonals, related to A111146.at n=41A113326
• a(n) = Sum_{k=0..n} 4^k*A111146(n,k).at n=5A113329
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, -1), (0, 0, 1), (0, 1, 0), (1, 1, 1)}.at n=7A151182
• Maximal length of rook tour on an n X n+4 board.at n=29A152135
• Number of 4-step self-avoiding walks on an n X n square summed over all starting positions.at n=25A188149
• Triangle read by rows: T(n,k) = number of ways to place k nonattacking kings on an n X n board.at n=33A193580
• Number of ways to place 8 nonattacking kings on an n X n board.at n=5A201369
• Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=5A299223
• Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=2A299226
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=30A299228
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=33A299228
• Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=2A300038
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=30A300040
• T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=33A300040
• Number of nonempty subsets of {1..n} whose elements have a square average.at n=20A369391
• Dimension of space of equivariant linear maps from R^{n^3} to R^{n^3} under diagonal action of {-1, 1}^n.at n=12A370649