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A297745 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s. 1

%I #4 Jan 05 2018 15:56:36

%S 4,37,174,852,5396,29773,162828,945314,5347977,30133308,171973424,

%T 977160855,5545471514,31555267875,179438125871,1020048459286,

%U 5801865031579,32997308834050,187654134511476,1067303125037252

%N Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s.

%C Column 4 of A297749.

%H R. H. Hardin, <a href="/A297745/b297745.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +5*a(n-2) +88*a(n-3) -225*a(n-4) -328*a(n-5) -2869*a(n-6) +2463*a(n-7) +1012*a(n-8) +31769*a(n-9) -5800*a(n-10) +41590*a(n-11) -124017*a(n-12) +3510*a(n-13) -263594*a(n-14) +138383*a(n-15) -159738*a(n-16) +214518*a(n-17) -59599*a(n-18) +341803*a(n-19) +28804*a(n-20) +671259*a(n-21) +86525*a(n-22) -116857*a(n-23) -703653*a(n-24) +126879*a(n-25) -77701*a(n-26) +48538*a(n-27) +118693*a(n-28) +117488*a(n-29) -35938*a(n-30) -90340*a(n-31) +33956*a(n-32) -64227*a(n-33) +18006*a(n-34) +11185*a(n-35) -2767*a(n-36) +630*a(n-37) +570*a(n-38) -290*a(n-39) +26*a(n-40)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297749.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2018

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)