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 A252397 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 4 6

%I #4 Dec 17 2014 09:44:11

%S 2205,21544,21544,224346,437023,224346,2302050,9807871,9807871,

%T 2302050,23364738,203636149,454970982,203636149,23364738,237415904,

%U 4246242886,19516646285,19516646285,4246242886,237415904,2418956843,89843675557

%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 4

%C Table starts

%C ......2205.......21544.........224346...........2302050............23364738

%C .....21544......437023........9807871.........203636149..........4246242886

%C ....224346.....9807871......454970982.......19516646285........851022689884

%C ...2302050...203636149....19516646285.....1721897188968.....153561179184793

%C ..23364738..4246242886...851022689884...153561179184793...28203141901710764

%C .237415904.89843675557.37408598546844.13852142421855853.5252935058161288682

%H R. H. Hardin, <a href="/A252397/b252397.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 39] for n>45

%e Some solutions for n=1 k=4

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

%e ..0..1..1..1..1..1....0..0..0..1..0..1....0..0..0..1..0..0....0..1..1..0..0..0

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 17 2014

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Last modified September 30 05:35 EDT 2023. Contains 365781 sequences. (Running on oeis4.)