A297399 - OEIS

%I #4 Dec 29 2017 11:00:24

%S 1,85,369,1243,15541,99682,514945,3977868,27131403,165041224,

%T 1128035711,7625285858,49170022362,326850563103,2183716617103,

%U 14348810814654,94917649585924,630373096158959,4164712261202289,27543277723412233

%N Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.

%C Row 6 of A297395.

%H R. H. Hardin, <a href="/A297399/b297399.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +6*a(n-2) +210*a(n-3) +229*a(n-4) +55*a(n-5) -9886*a(n-6) -14173*a(n-7) -8075*a(n-8) +195748*a(n-9) +181875*a(n-10) +87663*a(n-11) -1422344*a(n-12) -337739*a(n-13) -1114957*a(n-14) +5525820*a(n-15) -2908803*a(n-16) -871445*a(n-17) -12476178*a(n-18) +150124*a(n-19) +5056777*a(n-20) +2216204*a(n-21) -5969575*a(n-22) -10404139*a(n-23) +965484*a(n-24) +7909580*a(n-25) +142084*a(n-26) -4532588*a(n-27) -259328*a(n-28) +1045248*a(n-29) +23360*a(n-30) -64512*a(n-31)

%e Some solutions for n=5

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

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

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

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

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

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

%Y Cf. A297395.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 29 2017