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 A297730 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. 1

%I #4 Jan 04 2018 22:15:49

%S 1,32,92,362,2719,11171,53173,304157,1417699,7020469,36967694,

%T 180826511,905496100,4634841976,23093286304,116089088992,588289208512,

%U 2951875225059,14861263464798,75043289834641,377564870462712

%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s.

%C Column 5 of A297733.

%H R. H. Hardin, <a href="/A297730/b297730.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +7*a(n-2) +139*a(n-3) -154*a(n-4) -684*a(n-5) -7437*a(n-6) +1404*a(n-7) +18728*a(n-8) +180543*a(n-9) +81585*a(n-10) -153136*a(n-11) -1992100*a(n-12) -1600395*a(n-13) +186914*a(n-14) +9844587*a(n-15) +9326271*a(n-16) -390425*a(n-17) -21063001*a(n-18) -17292900*a(n-19) +11018789*a(n-20) +19647484*a(n-21) +2623386*a(n-22) -14362026*a(n-23) -1267059*a(n-24) +5221531*a(n-25) +728106*a(n-26) -841152*a(n-27) -515032*a(n-28) +92540*a(n-29) -110107*a(n-30) +2823*a(n-31) +31385*a(n-32) -3007*a(n-33) +1252*a(n-34) -700*a(n-35)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297733.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 04 2018

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Last modified December 7 09:30 EST 2023. Contains 367645 sequences. (Running on oeis4.)