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A253222 Number of nX7 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 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 29 2014 08:40:59

%S 15,81,504,3140,16028,47698,47698,649712,2913793,7415837,14420585,

%T 24015795,36221327,51039931,68471783,88516883,111175231,136446827,

%U 164331671,194829763,227941103,263665691,302003527,342954611,386518943

%N Number of nX7 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 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 A253223

%H R. H. Hardin, <a href="/A253222/b253222.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 1306624*n^2 - 20460244*n + 81385043 for n>12

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2014

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Last modified April 26 20:10 EDT 2024. Contains 372004 sequences. (Running on oeis4.)