A234555 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 3 (constant-stress 1 X 1 tilings).

360, 2716, 2716, 20416, 22458, 20416, 153752, 184816, 184816, 153752, 1157728, 1527660, 1659728, 1527660, 1157728, 8726336, 12632704, 15022720, 15022720, 12632704, 8726336, 65777344, 104793676, 135896344, 149584336, 135896344

Offset

1,1

Comments

Table starts

360 2716 20416 153752 1157728

2716 22458 184816 1527660 12632704

20416 184816 1659728 15022720 135896344

153752 1527660 15022720 149584336 1489279544

1157728 12632704 135896344 1489279544 16292204064

8726336 104793676 1236987584 14987310200 181336703944

65777344 870061872 11259287952 150974940800 2016799098648

496308128 7247511972 103178794676 1539878118344 22906568942748

3744934912 60427123392 945421176696 15724391364084

28286490944 505598378732 8728777849856

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: a(n) = 118*a(n-2) -3660*a(n-4) +10800*a(n-6).

k=2: [order 34].

Example

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

Crossrefs

Sequence in context: A205514 A056390 A056380 * A234550 A024185 A033592

Adjacent sequences: A234552 A234553 A234554 * A234556 A234557 A234558

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 28 2013

Status

approved