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A296400 Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s. 1

%I

%S 1,8,24,82,316,1182,4560,17508,67310,259398,999368,3851828,14846772,

%T 57226834,220589358,850295818,3277615080,12634174925,48700783032,

%U 187726368115,723626846696,2789356995974,10752106442068,41446037382414

%N Number of nX3 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 or 3 neighboring 1s.

%C Column 3 of A296405.

%H R. H. Hardin, <a href="/A296400/b296400.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) +8*a(n-3) -10*a(n-4) +22*a(n-5) -50*a(n-6) +37*a(n-7) -59*a(n-8) -3*a(n-10) -50*a(n-11) +10*a(n-12) -36*a(n-13) -17*a(n-14) -7*a(n-15) -19*a(n-16) -7*a(n-17) -4*a(n-18) -4*a(n-19) -a(n-20)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A296405.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 11 2017

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)