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A234991 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, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 9
90, 370, 370, 1640, 1490, 1640, 7554, 6908, 6908, 7554, 35072, 35598, 34608, 35598, 35072, 163416, 189200, 206556, 206556, 189200, 163416, 762002, 1026784, 1303920, 1525462, 1303920, 1026784, 762002, 3554334, 5628414, 8616068, 12242044 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
90 370 1640 7554 35072 163416
370 1490 6908 35598 189200 1026784
1640 6908 34608 206556 1303920 8616068
7554 35598 206556 1525462 12242044 105948984
35072 189200 1303920 12242044 128653892 1507413164
163416 1026784 8616068 105948984 1507413164 24740904388
762002 5628414 58209538 951853990 18608169852 433293595046
3554334 31099742 400984904 8853338774 241470307440 8076317372004
16580250 172847074 2799816642 84210673350 3223991647750 155302530533130
77345792 965377320 19780619488 816873730308 44160189525640 3074015131838128
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 8].
k=2: [order 28].
k=3: [order 91].
EXAMPLE
Some solutions for n=3, k=4:
1 0 4 1 5 1 0 1 4 5 4 3 1 0 5 0 2 0 1 0
0 1 3 2 4 0 1 0 5 4 3 4 0 1 4 1 5 1 0 1
1 0 4 1 5 5 4 1 4 5 0 3 1 0 1 0 2 0 1 4
2 3 5 0 2 4 5 0 5 4 3 4 0 1 0 1 5 1 4 5
CROSSREFS
Sequence in context: A245866 A157888 A201103 * A234984 A158490 A304618
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 02 2014
STATUS
approved

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Last modified July 19 13:41 EDT 2024. Contains 374394 sequences. (Running on oeis4.)