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A252638 Number of (n+2)X(6+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 11:32:38

%S 13038,56953,355574,1848350,14252070,101563107,625096361,5008257261,

%T 37697432955,249652077490,2032261522492,15635941105030,

%U 106418386308662,871159195685975,6754058973564385,46384957892341034,380465229747869809

%N Number of (n+2)X(6+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 6 of A252640

%H R. H. Hardin, <a href="/A252638/b252638.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 856*a(n-3) -242572*a(n-6) +29720906*a(n-9) -1602181457*a(n-12) +35744049414*a(n-15) -617580504991*a(n-18) +7887897442346*a(n-21) -72158427903830*a(n-24) +523158699334442*a(n-27) -2591085325582721*a(n-30) +5595058223175892*a(n-33) +3578963449703396*a(n-36) -28530932892775056*a(n-39) +20891722678397296*a(n-42) +24765258880649920*a(n-45) -28231745865638400*a(n-48) +3200764170240000*a(n-51) for n>63

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2014

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)