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A252392 Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 4 1

%I

%S 2205,21544,224346,2302050,23364738,237415904,2418956843,24645111392,

%T 250920865658,2554769901375,26015822760712,264922289636340,

%U 2697637825459030,27469479857851894,279718150473560850

%N Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 4

%C Column 1 of A252397

%H R. H. Hardin, <a href="/A252392/b252392.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +234*a(n-3) +24*a(n-4) -134*a(n-5) -8950*a(n-6) -9350*a(n-7) +49283*a(n-8) +210162*a(n-9) -39046*a(n-10) -1502624*a(n-11) -961458*a(n-12) +4176954*a(n-13) +8490842*a(n-14) -8133955*a(n-15) -14842568*a(n-16) +7277569*a(n-17) -4965301*a(n-18) -3759488*a(n-19) +14794041*a(n-20) +9897921*a(n-21) +6346963*a(n-22) +12778436*a(n-23) +856026*a(n-24) -5366660*a(n-25) +24416*a(n-26) -10411883*a(n-27) -5843788*a(n-28) -526458*a(n-29) +1188054*a(n-30) -2715931*a(n-31) +1188891*a(n-32) +1461378*a(n-33) -330832*a(n-34) -151531*a(n-35) +184588*a(n-36) +24800*a(n-37) -22912*a(n-38) -4096*a(n-39) for n>45

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified September 24 09:10 EDT 2021. Contains 347630 sequences. (Running on oeis4.)