A235026 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 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

88, 332, 332, 1248, 1200, 1248, 4704, 4312, 4312, 4704, 17728, 15572, 14800, 15572, 17728, 66848, 56276, 51220, 51220, 56276, 66848, 252032, 203768, 177520, 170568, 177520, 203768, 252032, 950464, 738516, 617600, 569352, 569352, 617600, 738516

Offset

1,1

Comments

Table starts

88 332 1248 4704 17728 66848 252032

332 1200 4312 15572 56276 203768 738516

1248 4312 14800 51220 177520 617600 2152744

4704 15572 51220 170568 569352 1912444 6442252

17728 56276 177520 569352 1830768 5939792 19332816

66848 203768 617600 1912444 5939792 18670696 58903452

252032 738516 2152744 6442252 19332816 58903452 180093160

950464 2680636 7527124 21811720 63383104 187635828 557393032

3583744 9738960 26367488 74044552 208419288 599716544 1730627064

13515392 35432228 92632604 252514496 689828084 1933347092 5432005844

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Formula

Empirical for column k:

k=1: a(n) = 18*a(n-2) -56*a(n-4) +32*a(n-6).

k=2: [order 21].

k=3: [order 63].

Example

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

Crossrefs

Sequence in context: A328872 A001347 A003782 * A323612 A235019 A241846

Adjacent sequences: A235023 A235024 A235025 * A235027 A235028 A235029

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 02 2014

Status

approved