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A252510 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7 1

%I

%S 3326,9277,28877,68163,188123,584827,1808374,5522057,16698268,

%T 50754770,155857175,475425332,1450405974,4455098471,13624986376,

%U 41681897176,128139306335,392648151022,1203456587858,3701729229995,11359055934874

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7

%C Column 4 of A252514

%H R. H. Hardin, <a href="/A252510/b252510.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +49*a(n-3) -135*a(n-4) +45*a(n-5) -792*a(n-6) +1821*a(n-7) -607*a(n-8) +5138*a(n-9) -7440*a(n-10) +2480*a(n-11) -21110*a(n-12) +23775*a(n-13) -7925*a(n-14) +78450*a(n-15) -93255*a(n-16) +31085*a(n-17) -249064*a(n-18) +208302*a(n-19) -69434*a(n-20) +622104*a(n-21) -400959*a(n-22) +133653*a(n-23) -1205530*a(n-24) +339099*a(n-25) -113033*a(n-26) +1656398*a(n-27) +65652*a(n-28) -21884*a(n-29) -1518746*a(n-30) -555099*a(n-31) +185033*a(n-32) +788662*a(n-33) +459303*a(n-34) -153101*a(n-35) -138143*a(n-36) -18549*a(n-37) +6183*a(n-38) -25785*a(n-39) -23166*a(n-40) +7722*a(n-41) +8586*a(n-42) +648*a(n-43) -216*a(n-44) -216*a(n-45) for n>50

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014

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Last modified May 24 01:24 EDT 2022. Contains 353993 sequences. (Running on oeis4.)