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A305589 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,65,390,2451,14746,89466,544280,3314595,20186517,122959746,

%T 749058546,4563548026,27804168598,169406254298,1032182730787,

%U 6289099847626,38319805312809,233485489859306,1422648513402804,8668341664825535

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305593.

%H R. H. Hardin, <a href="/A305589/b305589.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -18*a(n-2) +28*a(n-3) -162*a(n-4) -93*a(n-5) +407*a(n-6) +1195*a(n-7) +1669*a(n-8) -392*a(n-9) -108*a(n-10) -18223*a(n-11) +5342*a(n-12) -22547*a(n-13) -68718*a(n-14) +80676*a(n-15) -115465*a(n-16) +376935*a(n-17) +174298*a(n-18) +382141*a(n-19) -391935*a(n-20) +1058452*a(n-21) -2123771*a(n-22) +2758773*a(n-23) -3785453*a(n-24) -5505707*a(n-25) +8387586*a(n-26) -19508374*a(n-27) +19452792*a(n-28) +3273614*a(n-29) -9839642*a(n-30) -1150520*a(n-31) +15388381*a(n-32) +26576015*a(n-33) -34317006*a(n-34) -15424431*a(n-35) +2695852*a(n-36) -29399288*a(n-37) +11152019*a(n-38) +20424410*a(n-39) -39694874*a(n-40) +78186467*a(n-41) +42408467*a(n-42) -14206230*a(n-43) +814405*a(n-44) +18464832*a(n-45) -21668937*a(n-46) -22553264*a(n-47) +16081493*a(n-48) -26163409*a(n-49) -9663135*a(n-50) +3843853*a(n-51) -87906*a(n-52) +1993634*a(n-53) +345648*a(n-54) -867616*a(n-55) +96128*a(n-56) +200320*a(n-57) for n>59

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305593.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 05 2018

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Last modified July 1 22:23 EDT 2022. Contains 354984 sequences. (Running on oeis4.)