A234450 T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

160, 1120, 1120, 8064, 11574, 8064, 58720, 125080, 125080, 58720, 428800, 1377422, 2053280, 1377422, 428800, 3137920, 15269704, 34601928, 34601928, 15269704, 3137920, 22953984, 170001402, 588663528, 898985624, 588663528, 170001402

Offset

1,1

Comments

Table starts

160 1120 8064 58720 428800

1120 11574 125080 1377422 15269704

8064 125080 2053280 34601928 588663528

58720 1377422 34601928 898985624 23647980136

428800 15269704 588663528 23647980136 963859893408

3137920 170001402 10079824144 627437990794 39720806964788

22953984 1894235272 172781443608 16674841633492 1639385463803776

168075520 21145362278 2969800840496 444755926154674 67993371547921628

1229731840 235980939816 51008286679168 11853880524355808 2815853396337809696

Links

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

Formula

Empirical for column k:

k=1: a(n) = 60*a(n-2) -344*a(n-4).

k=2: [order 17].

k=3: [order 92].

Example

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

Crossrefs

Sequence in context: A234898 A234891 A305272 * A234444 A166778 A236518

Adjacent sequences: A234447 A234448 A234449 * A234451 A234452 A234453

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2013

Status

approved