A234911 T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

280, 1720, 1720, 10344, 12336, 10344, 65048, 88092, 88092, 65048, 395992, 692608, 734168, 692608, 395992, 2497560, 5287952, 7067096, 7067096, 5287952, 2497560, 15235088, 42777680, 66054728, 87088300, 66054728, 42777680, 15235088, 96142104

Offset

1,1

Comments

Table starts

280 1720 10344 65048 395992

1720 12336 88092 692608 5287952

10344 88092 734168 7067096 66054728

65048 692608 7067096 87088300 1035687060

395992 5287952 66054728 1035687060 15595734400

2497560 42777680 672221348 13775604012 268581208108

15235088 333040552 6570232248 175004599884 4410133393168

96142104 2723879976 68704964500 2424540636888 80151723302880

586688280 21343299552 683985508256 31723187334888

3702734168 175549177208 7259539837372

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: a(n) = 55*a(n-2) -725*a(n-4) +3663*a(n-6) -7525*a(n-8) +6335*a(n-10) -1805*a(n-12).

k=2: [order 87].

Example

Some solutions for n=2, k=4:
  2 1 0 2 1      4 6 2 5 3      2 6 1 6 4      2 1 0 4 0
  6 4 2 5 3      0 3 0 4 1      4 7 3 7 6      6 4 2 7 4
  7 6 5 7 4      3 5 3 6 4      2 6 1 4 2      3 2 1 5 3

Crossrefs

Sequence in context: A256708 A207075 A242039 * A234905 A187178 A233724

Adjacent sequences: A234908 A234909 A234910 * A234912 A234913 A234914

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 01 2014

Status

approved