A234690 - OEIS

A234690

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 5 (constant-stress 1 X 1 tilings).

232, 1148, 1148, 5472, 4416, 5472, 27344, 16580, 16580, 27344, 131200, 69336, 49480, 69336, 131200, 661952, 281612, 174320, 174320, 281612, 661952, 3196416, 1253088, 603480, 531984, 603480, 1253088, 3196416, 16276736, 5385236, 2377712, 1602224

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

232 1148 5472 27344 131200 661952 3196416

1148 4416 16580 69336 281612 1253088 5385236

5472 16580 49480 174320 603480 2377712 9134920

27344 69336 174320 531984 1602224 5614248 19258400

131200 281612 603480 1602224 4224328 13220576 40731576

661952 1253088 2377712 5614248 13220576 37361280 104366624

3196416 5385236 9134920 19258400 40731576 104366624 265716040

16276736 25119456 39076784 74809368 144171008 337733136 789826592

79071232 112545548 161746392 282312464 498365320 1071197312 2311358136

406166528 544181136 735721040 1187833176 1942449632 3852945648 7703580416

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k (column 3..5 order 29 recurrence also works for k=1..2; apparently all rows and columns satisfy the same order 29 recurrence):

k=1: a(n) = 72*a(n-2) -1712*a(n-4) +13440*a(n-6).

k=2: [order 24].

k=3..5: [same order 29].

EXAMPLE

Some solutions for n=3, k=4:

1 1 2 0 3 4 4 4 6 3 1 5 3 5 2 2 1 3 2 4

0 5 1 4 2 6 1 6 3 5 4 3 6 3 5 0 4 1 5 2

1 1 2 0 3 3 3 3 5 2 1 5 3 5 2 4 3 5 4 6

0 5 1 4 2 6 1 6 3 5 4 3 6 3 5 0 4 1 5 2

CROSSREFS

Sequence in context: A153466 A200870 A357573 * A234683 A366816 A238919

Adjacent sequences: A234687 A234688 A234689 * A234691 A234692 A234693

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 29 2013

STATUS

approved