A253003 Number of nX7 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

20, 140, 1028, 7235, 39758, 122833, 122833, 4915726, 59154789, 329035981, 1124010769, 2853903059, 5973571711, 10950733467, 18255251895, 28357151187, 41726455535, 58833189131, 80147376167, 106139040835, 137278207327

Offset

1,1

Comments

Column 7 of A253004

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (235012096/3)*n^3 - 2126491008*n^2 + (58625640404/3)*n - 60801081325 for n>12

Example

Some solutions for n=6
..0..1..1..1..1..2..3....0..0..1..1..1..2..3....0..1..1..1..2..3..3
..1..1..1..1..2..2..3....0..0..1..1..2..2..3....0..1..2..2..2..3..3
..1..1..1..1..2..2..3....0..1..1..1..2..2..3....1..1..2..2..2..3..3
..1..1..2..2..2..3..3....0..1..1..2..2..3..3....1..1..2..2..3..3..3
..1..2..2..2..3..3..3....1..1..1..2..3..3..3....2..2..2..3..3..3..3
..2..2..2..3..3..3..3....2..2..2..2..3..3..3....2..2..3..3..3..3..3

Crossrefs

Sequence in context: A105939 A054389 A374161 * A293932 A071816 A263960

Adjacent sequences: A253000 A253001 A253002 * A253004 A253005 A253006

Keyword

nonn

Author

R. H. Hardin, Dec 25 2014

Status

approved