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A297640 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s. 1

%I #4 Jan 02 2018 12:02:33

%S 16,51,494,2370,17305,108928,771393,5215899,36981502,260922198,

%T 1863864716,13321572177,95727990305,688646063679,4962710930660,

%U 35790554013951,258321620332407,1865150201855887,13471152197883439

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.

%C Row 4 of A297637.

%H R. H. Hardin, <a href="/A297640/b297640.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +10*a(n-2) -74*a(n-3) -77*a(n-4) -2069*a(n-5) +872*a(n-6) +22145*a(n-7) +19296*a(n-8) +62010*a(n-9) -111396*a(n-10) -727873*a(n-11) -472090*a(n-12) -1716838*a(n-13) -237257*a(n-14) +7631522*a(n-15) -382735*a(n-16) +2520162*a(n-17) +16496024*a(n-18) -13267732*a(n-19) -8719118*a(n-20) +32536928*a(n-21) +25930938*a(n-22) -4198258*a(n-23) +22374409*a(n-24) +42681455*a(n-25) -2164735*a(n-26) +2249015*a(n-27) -3323819*a(n-28) +26340202*a(n-29) +53485853*a(n-30) +31454620*a(n-31) +17145746*a(n-32) -3303429*a(n-33) -2548163*a(n-34) +6094772*a(n-35) +1501887*a(n-36) -1082820*a(n-37) -22048*a(n-38) +20370*a(n-39) -22464*a(n-40)

%e Some solutions for n=6

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

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

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

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

%Y Cf. A297637.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 02 2018

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Last modified July 18 00:08 EDT 2024. Contains 374377 sequences. (Running on oeis4.)