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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). 9
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 (list; table; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 02 2014
STATUS
approved

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Last modified April 14 13:30 EDT 2024. Contains 371661 sequences. (Running on oeis4.)