A234458 T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings).

280, 2400, 2400, 21344, 31112, 21344, 192960, 427956, 427956, 192960, 1755520, 6049248, 9249432, 6049248, 1755520, 16026240, 86545688, 207310120, 207310120, 86545688, 16026240, 146415104, 1246417268, 4726887280, 7432565004, 4726887280

Offset

1,1

Comments

Table starts

280 2400 21344 192960 1755520

2400 31112 427956 6049248 86545688

21344 427956 9249432 207310120 4726887280

192960 6049248 207310120 7432565004 272404175456

1755520 86545688 4726887280 272404175456 16119111514696

16026240 1246417268 108833647220 10112283614188 968883628673536

146415104 17999990956 2516987045248 377695247179700 58682694920811712

1339023360 260509952008 58398272232836 14168309891795076 3573447469469256284

Links

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

Formula

Empirical for column k:

k=1: a(n) = 100*a(n-2) -1384*a(n-4) +1440*a(n-6).

k=2: [order 26].

Example

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

Crossrefs

Sequence in context: A233724 A233718 A272982 * A234452 A297510 A327948

Adjacent sequences: A234455 A234456 A234457 * A234459 A234460 A234461

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2013

Status

approved