A234665 T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings).

298, 1820, 1820, 11112, 9774, 11112, 68086, 52646, 52646, 68086, 417050, 286668, 250792, 286668, 417050, 2564388, 1566596, 1219652, 1219652, 1566596, 2564388, 15760606, 8659270, 5969944, 5359466, 5969944, 8659270, 15760606, 97264082

Offset

1,1

Comments

Table starts

298 1820 11112 68086 417050 2564388

1820 9774 52646 286668 1566596 8659270

11112 52646 250792 1219652 5969944 29828832

68086 286668 1219652 5359466 23814574 109044744

417050 1566596 5969944 23814574 96408730 406314140

2564388 8659270 29828832 109044744 406314140 1591037136

15760606 48048220 150093796 504872642 1736939430 6340767776

97264082 269752200 770712800 2403596054 7695605586 26370069748

599847168 1520415050 3987209216 11568505044 34563948112

3715680490 8671291020 21036841216 57131064334

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: a(n) = 11*a(n-1) +17*a(n-2) -492*a(n-3) +1050*a(n-4) +1260*a(n-5).

k=2: [order 16].

k=3: [order 39].

Example

Some solutions for n=2, k=4:
  3 3 5 4 5      4 4 4 5 0      0 0 6 3 3      4 4 2 6 5
  1 5 3 6 3      1 5 1 6 5      5 1 3 4 0      4 0 2 2 5
  2 2 4 3 4      0 0 0 1 4      3 3 1 6 6      0 0 6 2 1

Crossrefs

Sequence in context: A200581 A200218 A284156 * A234659 A186126 A129037

Adjacent sequences: A234662 A234663 A234664 * A234666 A234667 A234668

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 29 2013

Status

approved