A252830 - OEIS

%I #6 Dec 18 2015 18:18:53

%S 1,5,44,493,6068,78674,1056756,14564701,204666202,2919462498,

%T 42143180174,614251526864,9024782449736,133489812361806,

%U 1985873221687284,29689739907869581,445797648515664064,6719243690952576928

%N Number of n X n 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 Diagonal of A252836

%H R. H. Hardin, <a href="/A252830/b252830.txt">Table of n, a(n) for n = 1..29</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 22 2014