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A234450 T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). 7
160, 1120, 1120, 8064, 11574, 8064, 58720, 125080, 125080, 58720, 428800, 1377422, 2053280, 1377422, 428800, 3137920, 15269704, 34601928, 34601928, 15269704, 3137920, 22953984, 170001402, 588663528, 898985624, 588663528, 170001402 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
160 1120 8064 58720 428800
1120 11574 125080 1377422 15269704
8064 125080 2053280 34601928 588663528
58720 1377422 34601928 898985624 23647980136
428800 15269704 588663528 23647980136 963859893408
3137920 170001402 10079824144 627437990794 39720806964788
22953984 1894235272 172781443608 16674841633492 1639385463803776
168075520 21145362278 2969800840496 444755926154674 67993371547921628
1229731840 235980939816 51008286679168 11853880524355808 2815853396337809696
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 60*a(n-2) -344*a(n-4).
k=2: [order 17].
k=3: [order 92].
EXAMPLE
Some solutions for n=2, k=4:
0 1 2 4 4 0 1 2 2 1 0 3 1 0 0 0 1 0 3 1
0 0 0 3 2 0 0 2 3 3 1 3 2 0 1 0 2 0 4 3
0 1 0 2 0 1 0 1 1 2 0 1 1 0 0 1 4 1 4 4
CROSSREFS
Sequence in context: A234898 A234891 A305272 * A234444 A166778 A236518
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 26 2013
STATUS
approved

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Last modified June 19 12:43 EDT 2024. Contains 373503 sequences. (Running on oeis4.)