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A210057 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order 1

%I #6 Mar 31 2012 12:37:31

%S 2187,124097,7293673,438056462,26586250017,1622061565898,

%T 99225470062505,6077972350575098,372554278601240547,

%U 22843974931212465902,1400979116157486255593,85927439331791018171914

%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order

%C Column 4 of A210061

%H R. H. Hardin, <a href="/A210057/b210057.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 176*a(n-1) -12383*a(n-2) +457521*a(n-3) -9583668*a(n-4) +109074306*a(n-5) -432638439*a(n-6) -4419650349*a(n-7) +64230480793*a(n-8) -252540170918*a(n-9) -595255299234*a(n-10) +8433913817808*a(n-11) -21427208559976*a(n-12) -38069222537892*a(n-13) +289460472761408*a(n-14) -336643109299632*a(n-15) -883702002797616*a(n-16) +2460214504431920*a(n-17) -361513807179872*a(n-18) -4377499678974656*a(n-19) +3253938371960768*a(n-20) +2790969020407040*a(n-21) -3141539845016064*a(n-22) -669537234834176*a(n-23) +1122282161785600*a(n-24) +46793169024000*a(n-25) -143518636118016*a(n-26) -1001036759040*a(n-27) +3148485230592*a(n-28)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 16 2012

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Last modified February 24 09:47 EST 2024. Contains 370294 sequences. (Running on oeis4.)