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 A253009 Number of nX6 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 10,85,632,3423,14795,54219,2327062,43197859,395069496,2063349297,

%T 7250116841,19242081848,41884052188,79190458776,135212633776,

%U 214009464108,319640931500,456167117868,627648109484,838143992620

%N Number of nX6 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 6 of A253011

%H R. H. Hardin, <a href="/A253009/b253009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (2030043136/3)*n^3 - 19063373824*n^2 + (545623168640/3)*n - 587442631380 for n>15

%e Some solutions for n=6

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014

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Last modified June 25 12:01 EDT 2019. Contains 324352 sequences. (Running on oeis4.)