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A252835 Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 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 1

%I #4 Dec 22 2014 13:38:26

%S 22,125,850,6211,42738,244131,1056756,3320837,7822881,14827629,

%T 24422839,36628371,51446975,68878827,88923927,111582275,136853871,

%U 164738715,195236807,228348147,264072735,302410571,343361655,386925987,433103567

%N Number of nX7 nonnegative integer arrays with upper left 0 and every value within 2 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 Column 7 of A252836

%H R. H. Hardin, <a href="/A252835/b252835.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1306624*n^2 - 17846996*n + 62638467 for n>11

%e Some solutions for n=4

%e ..0..1..2..2..3..4..4....0..1..2..2..3..4..5....0..1..1..2..3..3..4

%e ..0..1..2..3..3..4..5....0..1..2..2..3..4..5....0..1..1..2..3..4..4

%e ..1..1..2..3..3..4..5....1..1..2..2..3..4..5....1..1..2..2..3..4..5

%e ..2..2..2..3..3..4..5....1..1..2..3..3..4..5....2..2..2..2..3..4..5

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 22 2014

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Last modified August 27 05:29 EDT 2024. Contains 375462 sequences. (Running on oeis4.)