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A252239 Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. 2

%I #7 Mar 20 2018 10:16:55

%S 4708,43848,331884,1179792,11206944,84935088,301990464,2868905088,

%T 21743273664,77309413632,734439412224,5566277622528,19791209309184,

%U 188016488368128,1424967069625344,5066549580828672,48132221017595904

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

%C Column 4 of A252243.

%H R. H. Hardin, <a href="/A252239/b252239.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 260*a(n-3) - 1024*a(n-6) for n>7.

%F Empirical g.f.: 4*x*(1177 + 10962*x + 82971*x^2 - 11072*x^3 - 48384*x^4 - 338688*x^5 + 16384*x^6) / ((1 - 4*x^3)*(1 - 256*x^3)). - _Colin Barker_, Mar 20 2018

%e Some solutions for n=2:

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

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

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

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

%Y Cf. A252243.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014

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Last modified April 18 09:47 EDT 2024. Contains 371779 sequences. (Running on oeis4.)