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A296595 Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. 1

%I

%S 7,136,1441,16524,194743,2271055,26487173,309059200,3606151826,

%T 42075891572,490933874225,5728147443412,66835159508794,

%U 779822462956391,9098850687932878,106164013544171785,1238705647362376924

%N Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

%C Column 4 of A296599.

%H R. H. Hardin, <a href="/A296595/b296595.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +26*a(n-2) +168*a(n-3) +247*a(n-4) +901*a(n-5) +146*a(n-6) +2230*a(n-7) -5046*a(n-8) -13683*a(n-9) +34114*a(n-10) -28566*a(n-11) -101067*a(n-12) +178744*a(n-13) +58416*a(n-14) -360931*a(n-15) +145098*a(n-16) +371598*a(n-17) -252966*a(n-18) -191251*a(n-19) +198012*a(n-20) +122010*a(n-21) -53967*a(n-22) -82652*a(n-23) -15645*a(n-24) +19759*a(n-25) +23703*a(n-26) +15676*a(n-27) -3224*a(n-28) -7147*a(n-29) +250*a(n-30) +849*a(n-31) -3219*a(n-32) +897*a(n-33) -231*a(n-34) +514*a(n-35) +640*a(n-36) +24*a(n-37) +6*a(n-38) -92*a(n-39) -92*a(n-40) -67*a(n-41) -38*a(n-42) -15*a(n-43) -4*a(n-44)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296599.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 16 2017

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Last modified January 16 13:48 EST 2022. Contains 350376 sequences. (Running on oeis4.)