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A252435 Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7 1

%I #4 Dec 17 2014 10:56:28

%S 602,688,1033,1488,3057,6178,10309,24196,50228,86037,205258,426516,

%T 741942,1784080,3703542,6529800,15796578,32752826,58451265,142157308,

%U 294436272,531079333,1297598958,2685147364,4887498982,11988550720

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

%C Row 2 of A252433

%H R. H. Hardin, <a href="/A252435/b252435.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-3) -210*a(n-6) +606*a(n-9) +32*a(n-12) -1188*a(n-15) +594*a(n-18) +482*a(n-21) -415*a(n-24) +75*a(n-27) for n>34

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified November 29 09:50 EST 2023. Contains 367429 sequences. (Running on oeis4.)