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Number of n X n 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.
0

%I #6 May 03 2020 15:43:10

%S 0,3,15,30,45,171,229,417,822,1359,1993,5049,3669,7878,33158,16734,

%T 37752,734240,160344,389218,50665319,1735920,6661033

%N Number of n X n 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.

%C Diagonal of A298093.

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298093.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 12 2018