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A234690 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant stress 1X1 tilings) 9

%I

%S 232,1148,1148,5472,4416,5472,27344,16580,16580,27344,131200,69336,

%T 49480,69336,131200,661952,281612,174320,174320,281612,661952,3196416,

%U 1253088,603480,531984,603480,1253088,3196416,16276736,5385236,2377712,1602224

%N T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant stress 1X1 tilings)

%C Table starts

%C .......232......1148......5472......27344.....131200.....661952....3196416

%C ......1148......4416.....16580......69336.....281612....1253088....5385236

%C ......5472.....16580.....49480.....174320.....603480....2377712....9134920

%C .....27344.....69336....174320.....531984....1602224....5614248...19258400

%C ....131200....281612....603480....1602224....4224328...13220576...40731576

%C ....661952...1253088...2377712....5614248...13220576...37361280..104366624

%C ...3196416...5385236...9134920...19258400...40731576..104366624..265716040

%C ..16276736..25119456..39076784...74809368..144171008..337733136..789826592

%C ..79071232.112545548.161746392..282312464..498365320.1071197312.2311358136

%C .406166528.544181136.735721040.1187833176.1942449632.3852945648.7703580416

%H R. H. Hardin, <a href="/A234690/b234690.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k (column 3..5 order 29 recurrence also works for k=1..2; apparently all rows and columns satisfy the same order 29 recurrence):

%F k=1: a(n) = 72*a(n-2) -1712*a(n-4) +13440*a(n-6)

%F k=2: [order 24]

%F k=3..5: [same order 29]

%e Some solutions for n=3 k=4

%e ..1..1..2..0..3....4..4..4..6..3....1..5..3..5..2....2..1..3..2..4

%e ..0..5..1..4..2....6..1..6..3..5....4..3..6..3..5....0..4..1..5..2

%e ..1..1..2..0..3....3..3..3..5..2....1..5..3..5..2....4..3..5..4..6

%e ..0..5..1..4..2....6..1..6..3..5....4..3..6..3..5....0..4..1..5..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified October 17 00:35 EDT 2021. Contains 348048 sequences. (Running on oeis4.)