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A251823 Number of (n+2)X(2+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 12:48:01

%S 3930,8674,28202,75498,284506,1095314,3073138,12215010,49634706,

%T 140568394,576611546,2387784026,6790697458,28130266234,117517748130,

%U 334241631914,1392238253906,5834290389498,16600291514074,69280767349754

%N Number of (n+2)X(2+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 2 of A251829

%H R. H. Hardin, <a href="/A251823/b251823.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +14*a(n-2) +94*a(n-3) -158*a(n-4) -1445*a(n-5) -2492*a(n-6) +9233*a(n-7) +48962*a(n-8) +5034*a(n-9) -242838*a(n-10) -600349*a(n-11) +613035*a(n-12) +2605838*a(n-13) -360082*a(n-14) -6715786*a(n-15) +2529996*a(n-16) +63651804*a(n-17) -9595652*a(n-18) -284913112*a(n-19) -459860504*a(n-20) +476236808*a(n-21) +2249658800*a(n-22) +1069882400*a(n-23) -2543610400*a(n-24) -6852708800*a(n-25) -770009600*a(n-26) +5089939200*a(n-27) +8372160000*a(n-28) +1342720000*a(n-29) -3517440000*a(n-30) -4736000000*a(n-31) -512000000*a(n-32) +1024000000*a(n-33) for n>36

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014

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