A234190 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 2 (constant-stress 1 X 1 tilings).

412, 3710, 3710, 33720, 44826, 33720, 307598, 549448, 549448, 307598, 2802904, 6788640, 9120608, 6788640, 2802904, 25588052, 83845322, 153306026, 153306026, 83845322, 25588052, 233283984, 1039633348, 2571461348, 3523122268, 2571461348

Offset

1,1

Comments

Table starts

412 3710 33720 307598 2802904

3710 44826 549448 6788640 83845322

33720 549448 9120608 153306026 2571461348

307598 6788640 153306026 3523122268 80718738808

2802904 83845322 2571461348 80718738808 2520220543472

25588052 1039633348 43400523142 1866058872810 79661836246626

233283984 12874230598 730012705548 42943618264812

2130704612 160028488122 12351551016378

19434069328 1986351882576

177586235768

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 7].

k=2: [order 35].

Example

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

Crossrefs

Sequence in context: A201844 A105211 A081378 * A234185 A282127 A344119

Adjacent sequences: A234187 A234188 A234189 * A234191 A234192 A234193

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 20 2013

Status

approved