A253002 Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value within 3 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.
10, 55, 279, 1132, 3072, 3072, 122833, 1486152, 8270017, 27983105, 70187099, 145197755, 263486747, 435539835, 671842779, 982881339, 1379141275, 1871108347, 2469268315, 3184106939, 4026109979, 5005763195, 6133552347, 7419963195
Offset: 1
Keywords
Examples
Some solutions for n=6 ..0..0..1..1..1..2....0..0..0..1..1..2....0..0..0..1..1..2....0..0..0..0..1..2 ..0..0..1..1..2..2....0..0..0..1..1..2....1..1..1..1..2..2....0..0..0..0..1..2 ..0..1..1..2..2..2....0..1..1..1..1..2....1..1..2..2..2..2....1..1..1..1..1..2 ..1..1..2..2..2..2....0..1..1..1..1..2....1..2..2..2..2..2....1..1..1..1..1..2 ..1..2..2..2..2..2....1..1..1..1..2..2....2..2..2..2..2..2....2..2..2..2..2..2 ..2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = (5242880/3)*n^3 - 41275392*n^2 + (991610656/3)*n - 897487301 for n>10
Comments