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 A186897 Number of (n+1)X5 binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants 1

%I #5 Mar 31 2012 12:36:06

%S 234,406,1692,5401,14437,49303,171877,608194,1974583,6828851,23697904,

%T 82511604,280821141,969113166,3356595204,11627225657,40028089405,

%U 138218574688,478039503452,1653233404522,5707628406749,19717537044734

%N Number of (n+1)X5 binary arrays with every 2X2 subblock determinant equal to exactly one or two horizontal and vertical neighbor 2X2 subblock determinants

%C Column 4 of A186902

%H R. H. Hardin, <a href="/A186897/b186897.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)+4*a(n-2)+a(n-3)+55*a(n-4)-71*a(n-5)-270*a(n-6)-75*a(n-7)-541*a(n-8)+92*a(n-9)+3469*a(n-10)+2523*a(n-11)-1411*a(n-12)+2361*a(n-13)-3307*a(n-14)-5191*a(n-15)+46033*a(n-16)+47267*a(n-17)-24164*a(n-18)-25983*a(n-19)-130840*a(n-20)-344285*a(n-21)-394773*a(n-22)-421021*a(n-23)-365160*a(n-24)-79912*a(n-25)-75973*a(n-26)-81330*a(n-27)+49938*a(n-28)-268895*a(n-29)-35251*a(n-30)-11215*a(n-31)-844391*a(n-32)-825334*a(n-33)-963512*a(n-34)-938042*a(n-35)+244059*a(n-36)+455064*a(n-37)+214925*a(n-38)+142856*a(n-39)-242661*a(n-40)-340438*a(n-41)-154625*a(n-42)+10260*a(n-43)+74203*a(n-44)+100145*a(n-45)+49482*a(n-46)+8674*a(n-47)+9592*a(n-48)+3430*a(n-49)-305*a(n-50)+1258*a(n-51)+598*a(n-52)-100*a(n-53)-77*a(n-54)-21*a(n-55)-4*a(n-56) for n>62

%e Some solutions for 3X5

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 28 2011

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Last modified April 21 03:36 EDT 2024. Contains 371850 sequences. (Running on oeis4.)