|
%I #6 Jan 16 2018 11:38:03
%S 8,88,354,1609,7629,35969,168880,794047,3736043,17575235,82668460,
%T 388888693,1829387003,8605510483,40481162195,190427671677,
%U 895788498856,4213872268141,19822459102984,93246700831399,438641207473484
%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 4 of A298195.
%H R. H. Hardin, <a href="/A298191/b298191.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +47*a(n-3) -174*a(n-4) +264*a(n-5) -166*a(n-6) +417*a(n-7) +276*a(n-8) -2329*a(n-9) +3838*a(n-10) -9503*a(n-11) +13021*a(n-12) -14443*a(n-13) +26856*a(n-14) -20434*a(n-15) +7833*a(n-16) -20616*a(n-17) -34499*a(n-18) +100276*a(n-19) -90932*a(n-20) +508480*a(n-21) -847993*a(n-22) +959589*a(n-23) -2200626*a(n-24) +2843014*a(n-25) -3104212*a(n-26) +4186274*a(n-27) -3170646*a(n-28) +1693677*a(n-29) -1885652*a(n-30) -1469436*a(n-31) +4912361*a(n-32) -3473828*a(n-33) +4942301*a(n-34) -4157310*a(n-35) +1472445*a(n-36) -2526405*a(n-37) +563591*a(n-38) +1848869*a(n-39) -462692*a(n-40) -423210*a(n-41) +430042*a(n-42) -481990*a(n-43) -416719*a(n-44) +198236*a(n-45) +521983*a(n-46) -690217*a(n-47) +299*a(n-48) +118772*a(n-49) -131934*a(n-50) +115558*a(n-51) +76599*a(n-52) +44797*a(n-53) +32892*a(n-54) +21732*a(n-55) +9004*a(n-56) -4648*a(n-57) -7444*a(n-58) -3402*a(n-59) -860*a(n-60) -838*a(n-61) -52*a(n-62) -40*a(n-63) -80*a(n-64) for n>66
%e Some solutions for n=7
%e ..0..0..0..0. .0..0..1..0. .0..1..0..0. .0..1..0..1. .0..0..0..0
%e ..0..1..1..0. .0..1..1..0. .0..0..1..0. .1..0..1..0. .0..1..1..1
%e ..1..1..0..1. .1..0..0..1. .0..1..0..1. .0..0..0..0. .1..0..0..1
%e ..1..0..1..1. .1..0..1..1. .0..1..1..0. .1..1..1..0. .1..0..1..0
%e ..0..1..0..1. .0..0..0..1. .0..0..1..1. .0..0..1..1. .1..0..1..1
%e ..1..0..0..1. .0..1..0..1. .1..1..0..1. .0..1..0..1. .1..0..1..0
%e ..0..0..1..1. .0..1..0..1. .0..0..0..1. .1..1..0..0. .0..1..1..1
%Y Cf. A298195.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 14 2018
| 