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A302423 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 07 2018 17:19:01

%S 5,17,21,42,148,362,879,2447,6306,15905,42221,110418,283913,742439,

%T 1940186,5029913,13102975,34178122,88873888,231355589,602826384,

%U 1569061436,4084569987,10637783556,27695951899,72104297278,187752963431

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302427.

%H R. H. Hardin, <a href="/A302423/b302423.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +11*a(n-3) -2*a(n-4) -3*a(n-5) -19*a(n-6) -5*a(n-7) -20*a(n-8) -60*a(n-9) -2*a(n-10) +10*a(n-11) +78*a(n-12) +30*a(n-13) +118*a(n-14) +191*a(n-15) +14*a(n-16) -14*a(n-17) -50*a(n-18) -165*a(n-20) -332*a(n-21) -84*a(n-22) -37*a(n-23) -86*a(n-24) -81*a(n-25) +40*a(n-26) +237*a(n-27) +110*a(n-28) +27*a(n-29) +62*a(n-30) +53*a(n-31) +27*a(n-32) -44*a(n-33) -26*a(n-34) -19*a(n-35) -21*a(n-36) -a(n-37) +2*a(n-38) +10*a(n-39) +a(n-40) -a(n-42) for n>43

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018

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Last modified July 18 17:38 EDT 2024. Contains 374388 sequences. (Running on oeis4.)