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A295648 Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1, 3 or 4 1s. 1

%I

%S 13,106,956,8391,74335,657178,5812860,51408810,454678898,4021307228,

%T 35565664275,314553293487,2782003528545,24604870438879,

%U 217612830093347,1924632917243403,17022028855667816,150547911558922843

%N Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1, 3 or 4 1s.

%C Column 4 of A295652.

%H R. H. Hardin, <a href="/A295648/b295648.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -2*a(n-2) -70*a(n-3) -15*a(n-4) -184*a(n-5) +706*a(n-6) +2106*a(n-7) -792*a(n-8) -6280*a(n-9) -5372*a(n-10) +16188*a(n-11) -3933*a(n-12) -36012*a(n-13) +35886*a(n-14) +28798*a(n-15) -36841*a(n-16) +12395*a(n-17) +25955*a(n-18) -19428*a(n-19) -2514*a(n-20) +6957*a(n-21) +13470*a(n-22) -32992*a(n-23) +24518*a(n-24) -1429*a(n-25) +8121*a(n-26) -9435*a(n-27) +7706*a(n-28) -9608*a(n-29) -2622*a(n-30) -5376*a(n-31) +3063*a(n-32) -5596*a(n-33) +1043*a(n-34) -430*a(n-35) +128*a(n-36) +1310*a(n-37) +234*a(n-38) +430*a(n-39) +151*a(n-40) +66*a(n-41) +25*a(n-42) +5*a(n-43) -2*a(n-44) -a(n-45)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A295652.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 25 2017

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Last modified June 28 21:04 EDT 2022. Contains 354907 sequences. (Running on oeis4.)