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Number of nX7 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 #4 Dec 25 2014 08:32:37

%S 15,145,1836,27905,433401,5672484,60650883,766674140,4970634131,

%T 18692194423,49050683133,101029007619,176694157069,276519316503,

%U 400550856993,548788778539,721233081141,917883764799,1138740829513

%N Number of nX7 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 7 of A252983

%H R. H. Hardin, <a href="/A252982/b252982.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12103190528*n^2 - 226960984822*n + 1081747760523 for n>12

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 25 2014