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A252637 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7 1

%I #4 Dec 19 2014 11:31:57

%S 6598,22701,110665,448323,2641643,13960830,62261756,378997999,

%T 2046478799,9628330801,59374168196,322709718271,1563088803139,

%U 9691995342577,52757221119490,259349258343928,1611556225819907,8772483896966923

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

%C Column 5 of A252640

%H R. H. Hardin, <a href="/A252637/b252637.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 401*a(n-3) -58334*a(n-6) +3905774*a(n-9) -123912796*a(n-12) +1797645518*a(n-15) -16104263185*a(n-18) +106963513595*a(n-21) -484501448416*a(n-24) +1241730094740*a(n-27) -1500310993968*a(n-30) +684083769472*a(n-33) -33538252800*a(n-36) for n>46

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)