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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 1

%I

%S 4,19,54,124,250,14795,309990,2853292,14125312,46481352,116171792,

%T 240747928,438003360,725775144,1121905200,1644235704,2310608832,

%U 3138866760,4146851664,5352405720,6773371104,8427589992,10332904560

%N 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 Column 5 of A253011

%H R. H. Hardin, <a href="/A253008/b253008.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2973696*n^3 - 70716096*n^2 + 570494664*n - 1560617160 for n>12

%e Some solutions for n=6

%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..1....0..1..1..1..1

%e ..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..1..1..2

%e ..1..1..1..1..1....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2

%e ..1..1..1..1..2....0..0..1..1..1....0..0..1..1..1....1..1..1..1..2

%e ..1..2..2..2..2....0..0..1..2..2....0..1..1..1..2....1..1..1..1..2

%e ..1..2..2..2..2....0..0..1..2..2....1..1..1..1..2....1..1..1..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014

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Last modified July 18 07:10 EDT 2019. Contains 325134 sequences. (Running on oeis4.)