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A251822 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6 1

%I #4 Dec 09 2014 12:47:17

%S 1890,3930,9354,22266,61058,160322,413202,1139826,3118482,8319882,

%T 23584586,65465226,178084738,504244530,1412258994,3880043794,

%U 11020794162,30982240178,85749834586,243381206194,686186919786,1908589426914

%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6

%C Column 1 of A251829

%H R. H. Hardin, <a href="/A251822/b251822.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +14*a(n-2) +30*a(n-3) -115*a(n-4) -518*a(n-5) +205*a(n-6) +3196*a(n-7) +3904*a(n-8) -13120*a(n-9) -23920*a(n-10) +46793*a(n-11) +87720*a(n-12) -170294*a(n-13) -600803*a(n-14) +572580*a(n-15) +2805533*a(n-16) -92853*a(n-17) -7293684*a(n-18) -5964065*a(n-19) +18744915*a(n-20) +12066358*a(n-21) -50001398*a(n-22) -41225930*a(n-23) +91954292*a(n-24) +244645926*a(n-25) -77530458*a(n-26) -435940304*a(n-27) -315905492*a(n-28) +96427640*a(n-29) +838056696*a(n-30) +362622920*a(n-31) +136187880*a(n-32) -941451568*a(n-33) -1040264336*a(n-34) +753366048*a(n-35) +369089152*a(n-36) +226212288*a(n-37) +312962048*a(n-38) -608963328*a(n-39) -257748480*a(n-40) +322808832*a(n-41) +66686976*a(n-42) -72161280*a(n-43) -5971968*a(n-44) +5971968*a(n-45) for n>48

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014

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Last modified July 22 06:07 EDT 2024. Contains 374481 sequences. (Running on oeis4.)