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A299598 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 0,6,27,130,1241,8825,72751,589816,4803248,39358999,321999354,

%T 2638098994,21610813691,177055481680,1450660059735,11885674778667,

%U 97384006706676,797906117503448,6537576734601907,53565114537762363,438881605139973564

%N Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A299602.

%H R. H. Hardin, <a href="/A299598/b299598.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +17*a(n-2) -181*a(n-3) -358*a(n-4) +1849*a(n-5) +3395*a(n-6) -9594*a(n-7) -17373*a(n-8) +37703*a(n-9) +64155*a(n-10) -140777*a(n-11) -207284*a(n-12) +241911*a(n-13) +503248*a(n-14) -180355*a(n-15) -407315*a(n-16) +345228*a(n-17) -190109*a(n-18) -358668*a(n-19) +1352578*a(n-20) -134032*a(n-21) -796584*a(n-22) -5373391*a(n-23) +3257874*a(n-24) +6698760*a(n-25) -588489*a(n-26) -18575462*a(n-27) -9379891*a(n-28) +12753098*a(n-29) +19365970*a(n-30) +7121900*a(n-31) -19148219*a(n-32) -10185393*a(n-33) -466148*a(n-34) +6297580*a(n-35) +4336922*a(n-36) -4382384*a(n-37) +153878*a(n-38) -45486*a(n-39) -455623*a(n-40) +174413*a(n-41) -619409*a(n-42) +332546*a(n-43) +199486*a(n-44) -122028*a(n-45) +14512*a(n-46) -2012*a(n-47) +204*a(n-48)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299602.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 14 2018

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Last modified June 27 19:31 EDT 2022. Contains 354898 sequences. (Running on oeis4.)