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A185919 Number of (n+1)X2 0..3 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant 2

%I #6 Mar 31 2012 12:36:04

%S 256,3516,49342,687900,9599032,133932498,1868731400,26074015256,

%T 363805229334,5076097479776,70825715574254,988216243835574,

%U 13788372439454958,192386247156430148,2684324655228015934

%N Number of (n+1)X2 0..3 arrays with no 2X2 subblock determinant equal to any horizontal or vertical neighbor 2X2 subblock determinant

%C Column 1 of A185923

%H R. H. Hardin, <a href="/A185919/b185919.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=6*a(n-1)+66*a(n-2)+461*a(n-3)+1836*a(n-4)+5728*a(n-5)+12892*a(n-6)+21504*a(n-7)+23266*a(n-8)+7230*a(n-9)-27944*a(n-10)-63965*a(n-11)-75166*a(n-12)-58649*a(n-13)-25842*a(n-14)+2124*a(n-15)+27222*a(n-16)+67271*a(n-17)+71840*a(n-18)+10072*a(n-19)-39844*a(n-20)-8317*a(n-21)+7710*a(n-22)+7968*a(n-23)+3189*a(n-24)-30*a(n-25)-562*a(n-26)-1092*a(n-27) for n>28

%e Some solutions for 3X2

%e ..0..1....3..2....1..3....0..3....0..1....3..3....0..1....3..1....0..2....1..1

%e ..3..3....1..1....2..1....1..3....0..1....0..1....3..2....3..3....2..1....3..2

%e ..2..2....3..2....2..0....1..2....1..0....2..0....3..0....2..2....3..1....1..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 06 2011

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)