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A234898 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 1, with no adjacent elements equal (constant stress tilted 1X1 tilings) 8

%I

%S 160,760,760,3456,4024,3456,16572,20404,20404,16572,76032,115924,

%T 113288,115924,76032,365024,625480,743436,743436,625480,365024,

%U 1676576,3640580,4634504,5941320,4634504,3640580,1676576,8050184,19965444,32110856

%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 1, with no adjacent elements equal (constant stress tilted 1X1 tilings)

%C Table starts

%C .......160........760........3456.........16572..........76032..........365024

%C .......760.......4024.......20404........115924.........625480.........3640580

%C ......3456......20404......113288........743436........4634504........32110856

%C .....16572.....115924......743436.......5941320.......44518632.......385262124

%C .....76032.....625480.....4634504......44518632......399820568......4244726408

%C ....365024....3640580....32110856.....385262124.....4244726408.....57645698844

%C ...1676576...19965444...208211944....3064189932....41268054688....700047980248

%C ...8050184..117487100..1482491852...27702518548...464573800208..10265376879740

%C ..36980544..648180128..9763925800..225962416092..4675921747384.130326665117372

%C .177566656.3842929120.70741188392.2102864178560.54793760749712

%H R. H. Hardin, <a href="/A234898/b234898.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

%F k=1: a(n) = 30*a(n-2) -194*a(n-4) +428*a(n-6) -288*a(n-8) +48*a(n-10)

%F k=2: [order 51]

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 01 2014

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Last modified January 17 05:13 EST 2022. Contains 350378 sequences. (Running on oeis4.)