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A297679 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 4 neighboring 1s. 1

%I #4 Jan 03 2018 09:19:45

%S 24,219,2790,32911,401678,4870764,59210634,719647644,8748946600,

%T 106360216813,1293051641215,15720067945295,191114672847915,

%U 2323452694839402,28247100678589725,343410814460992551

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

%C Column 5 of A297682.

%H R. H. Hardin, <a href="/A297679/b297679.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -13*a(n-2) +103*a(n-3) -631*a(n-4) -2904*a(n-5) +4228*a(n-6) -9174*a(n-7) +33373*a(n-8) -11504*a(n-9) +48969*a(n-10) -94831*a(n-11) +2069*a(n-12) -31085*a(n-13) -9102*a(n-14) +78809*a(n-15) -13808*a(n-16) +49758*a(n-17) -54323*a(n-18) +6349*a(n-19) +12263*a(n-20) -9120*a(n-21) +1613*a(n-22) -13130*a(n-23) +13637*a(n-24) -72*a(n-25) -8310*a(n-26) +1120*a(n-27) +2320*a(n-28) +128*a(n-29) -192*a(n-30)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A297682.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2018

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Last modified April 20 11:03 EDT 2024. Contains 371838 sequences. (Running on oeis4.)