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A302418 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 07 2018 17:05:55

%S 16,264,441,994,3553,11998,33596,98387,295578,894679,2695046,8079516,

%T 24238223,72918140,219274670,658972343,1980525063,5953451985,

%U 17896489116,53796843601,161709612431,486093332387,1461196075095,4392346398015

%N Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A302415.

%H R. H. Hardin, <a href="/A302418/b302418.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -9*a(n-2) +17*a(n-3) -28*a(n-4) +19*a(n-5) -26*a(n-6) -18*a(n-7) +137*a(n-8) -158*a(n-9) +276*a(n-10) -316*a(n-11) +172*a(n-12) -266*a(n-13) +62*a(n-14) +36*a(n-15) +170*a(n-16) +85*a(n-17) +306*a(n-18) -567*a(n-19) +247*a(n-20) -669*a(n-21) +228*a(n-22) +266*a(n-23) +7*a(n-24) +456*a(n-25) -403*a(n-26) +100*a(n-27) -208*a(n-28) +20*a(n-29) +30*a(n-30) +30*a(n-31) for n>39

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302415.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 07 2018

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Last modified September 15 02:31 EDT 2024. Contains 375930 sequences. (Running on oeis4.)