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A252981 Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down 2

%I

%S 10,85,851,8487,67537,432842,5672484,36112108,129234988,322183180,

%T 635379492,1074743076,1640984356,2334103332,3154100004,4100974372,

%U 5174726436,6375356196,7702863652,9157248804,10738511652,12446652196

%N Number of nX6 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down

%C Column 6 of A252983

%H R. H. Hardin, <a href="/A252981/b252981.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 63438848*n^2 - 1019729920*n + 4176308004 for n>10

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014

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Last modified October 5 07:45 EDT 2022. Contains 357252 sequences. (Running on oeis4.)