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A252071 Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4 1

%I #4 Dec 13 2014 10:39:10

%S 375,1135,5085,21862,92225,391934,1669294,7114867,30309042,129016031,

%T 549319037,2339547000,9963141845,42425232250,180661430026,

%U 769335984173,3276146397838,13951092432179,59409215103993,252988054381898

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

%C Column 4 of A252075

%H R. H. Hardin, <a href="/A252071/b252071.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) +14*a(n-3) +34*a(n-4) -16*a(n-5) -79*a(n-6) -150*a(n-7) -94*a(n-8) +581*a(n-9) +457*a(n-10) -913*a(n-11) -631*a(n-12) +692*a(n-13) +433*a(n-14) -236*a(n-15) -116*a(n-16) +72*a(n-17) -57*a(n-18) -32*a(n-19) +38*a(n-20) -15*a(n-21) +5*a(n-22) +11*a(n-23) -4*a(n-24) for n>26

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)