cp's OEIS Frontend

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.

%I A253002 #6 Jul 23 2025 13:51:00
%S A253002 10,55,279,1132,3072,3072,122833,1486152,8270017,27983105,70187099,
%T A253002 145197755,263486747,435539835,671842779,982881339,1379141275,
%U A253002 1871108347,2469268315,3184106939,4026109979,5005763195,6133552347,7419963195
%N 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.
%C A253002 Column 6 of A253004
%H A253002 R. H. Hardin, <a href="/A253002/b253002.txt">Table of n, a(n) for n = 1..210</a>
%F A253002 Empirical: a(n) = (5242880/3)*n^3 - 41275392*n^2 + (991610656/3)*n - 897487301 for n>10
%e A253002 Some solutions for n=6
%e A253002 ..0..0..1..1..1..2....0..0..0..1..1..2....0..0..0..1..1..2....0..0..0..0..1..2
%e A253002 ..0..0..1..1..2..2....0..0..0..1..1..2....1..1..1..1..2..2....0..0..0..0..1..2
%e A253002 ..0..1..1..2..2..2....0..1..1..1..1..2....1..1..2..2..2..2....1..1..1..1..1..2
%e A253002 ..1..1..2..2..2..2....0..1..1..1..1..2....1..2..2..2..2..2....1..1..1..1..1..2
%e A253002 ..1..2..2..2..2..2....1..1..1..1..2..2....2..2..2..2..2..2....2..2..2..2..2..2
%e A253002 ..2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2
%K A253002 nonn
%O A253002 1,1
%A A253002 _R. H. Hardin_, Dec 25 2014