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A204652 Number of (n+2)X3 0..3 arrays with every 3x3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order 1

%I

%S 4600,162622,6255285,215282843,7670500426,276834777101,9852548472740,

%T 351748482361692,12583296678169443,449405519252736272,

%U 16054145722116305411,573672688065558115433,20495517759790080129994

%N Number of (n+2)X3 0..3 arrays with every 3x3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..3 introduced in row major order

%C Column 1 of A204655

%H R. H. Hardin, <a href="/A204652/b204652.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 40*a(n-1) -250*a(n-2) +8189*a(n-3) -199926*a(n-4) +1149548*a(n-5) -1075908*a(n-6) +13706290*a(n-7) +37924153*a(n-8) -610987298*a(n-9) -1734589438*a(n-10) -7117567215*a(n-11) -6921357222*a(n-12) +62992277114*a(n-13) +253688144200*a(n-14) +824119262620*a(n-15) +1666129122200*a(n-16) +2018351170136*a(n-17) +1823940488736*a(n-18) -781591017544*a(n-19) -3976302679328*a(n-20) -4832243371576*a(n-21) -3862872652400*a(n-22) -2720794783168*a(n-23) +2880329559024*a(n-24) +9825274864032*a(n-25) +7593811262400*a(n-26) -3373436801664*a(n-27) -8626889885184*a(n-28) -3447912379392*a(n-29) +2373810333696*a(n-30) +2896767664128*a(n-31) +232151629824*a(n-32) -781712031744*a(n-33) -113069260800*a(n-34) +81792073728*a(n-35)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 17 2012

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Last modified September 25 12:12 EDT 2022. Contains 356984 sequences. (Running on oeis4.)