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A302632 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 10 2018 19:30:12

%S 8,25,25,65,257,719,2303,7695,24205,77827,251835,806047,2591353,

%T 8340665,26787773,86104127,276842555,889744085,2859889913,9193087135,

%U 29549125343,94980382961,305300890107,981337384507,3154346109841,10139134067253

%N Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302635.

%H R. H. Hardin, <a href="/A302632/b302632.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +24*a(n-3) +2*a(n-4) +6*a(n-5) -175*a(n-6) -67*a(n-7) -79*a(n-8) +599*a(n-9) +219*a(n-10) +190*a(n-11) -1186*a(n-12) -174*a(n-13) -148*a(n-14) +1508*a(n-15) -244*a(n-16) +36*a(n-17) -1276*a(n-18) +616*a(n-19) +744*a(n-21) -640*a(n-22) +32*a(n-23) -272*a(n-24) +384*a(n-25) -64*a(n-26) +32*a(n-27) -128*a(n-28) +64*a(n-29) for n>32

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 10 2018

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)