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A253008 Number of nX5 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down.

%I A253008 #6 Jul 23 2025 13:51:14
%S A253008 4,19,54,124,250,14795,309990,2853292,14125312,46481352,116171792,
%T A253008 240747928,438003360,725775144,1121905200,1644235704,2310608832,
%U A253008 3138866760,4146851664,5352405720,6773371104,8427589992,10332904560
%N A253008 Number of nX5 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 3 and every value increasing by 0 or 1 with every step right, diagonally se or down.
%C A253008 Column 5 of A253011
%H A253008 R. H. Hardin, <a href="/A253008/b253008.txt">Table of n, a(n) for n = 1..210</a>
%F A253008 Empirical: a(n) = 2973696*n^3 - 70716096*n^2 + 570494664*n - 1560617160 for n>12
%e A253008 Some solutions for n=6
%e A253008 ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..1..1..1..1
%e A253008 ..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..1..1..2
%e A253008 ..1..1..1..1..1....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2
%e A253008 ..1..1..1..1..2....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2
%e A253008 ..1..2..2..2..2....0..0..1..2..2....0..1..1..1..2....1..1..1..1..2
%e A253008 ..1..2..2..2..2....0..0..1..2..2....1..1..1..1..2....1..1..1..1..2
%K A253008 nonn
%O A253008 1,1
%A A253008 _R. H. Hardin_, Dec 25 2014