A234497 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 2 (constant-stress 1 X 1 tilings).

250, 1834, 1834, 13464, 17022, 13464, 99142, 158288, 158288, 99142, 728536, 1483566, 1856768, 1483566, 728536, 5368636, 13868952, 22124316, 22124316, 13868952, 5368636, 39476802, 130537496, 260915944, 337787398, 260915944

Offset

1,1

Comments

Table starts

250 1834 13464 99142 728536

1834 17022 158288 1483566 13868952

13464 158288 1856768 22124316 260915944

99142 1483566 22124316 337787398 5086391644

728536 13868952 260915944 5086391644 96676755176

5368636 130537496 3122368992 78343976876 1903351845712

39476802 1224977498 36940569778 1187892774098 36413811919636

291119578 11577801970 443886085700 18458711626338 723978446690964

2142048610 109063132114 5267872223782 281836734313650

15807820384 1035175545192 63565110955752

Links

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

Formula

Empirical for column k:

k=1: a(n) = 5*a(n-1) +74*a(n-2) -295*a(n-3) -1008*a(n-4) +840*a(n-5).

k=2: [order 23].

Example

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

Crossrefs

Sequence in context: A268269 A045185 A122270 * A234491 A249199 A249214

Adjacent sequences: A234494 A234495 A234496 * A234498 A234499 A234500

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2013

Status

approved