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A318342 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Aug 24 2018 11:04:18

%S 64,190,344,817,3321,16267,86487,476348,2647555,14797928,82863837,

%T 464502820,2605038853,14613251568,81984567828,459986291171,

%U 2580903334169,14481247495703,81253869292071,455915278972371,2558145839414926

%N Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A318343.

%H R. H. Hardin, <a href="/A318342/b318342.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +15*a(n-2) -89*a(n-3) -165*a(n-4) +555*a(n-5) +1215*a(n-6) -1671*a(n-7) -5290*a(n-8) +1469*a(n-9) +13428*a(n-10) +5625*a(n-11) -17967*a(n-12) -19967*a(n-13) +3366*a(n-14) +22938*a(n-15) +28588*a(n-16) +12646*a(n-17) -41780*a(n-18) -75067*a(n-19) +9433*a(n-20) +89071*a(n-21) +52784*a(n-22) -43392*a(n-23) -74658*a(n-24) -40*a(n-25) +41248*a(n-26) +12244*a(n-27) -12324*a(n-28) -4868*a(n-29) +3028*a(n-30) +660*a(n-31) -1352*a(n-32) -152*a(n-33) +496*a(n-34) +32*a(n-35) -64*a(n-36) for n>41

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318343.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2018

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)