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A234658 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 4 (constant-stress 1 X 1 tilings). 9
160, 728, 728, 3264, 2648, 3264, 15008, 9616, 9616, 15008, 67840, 37352, 28496, 37352, 67840, 315008, 144512, 94432, 94432, 144512, 315008, 1434624, 593048, 315024, 274520, 315024, 593048, 1434624, 6722048, 2414992, 1148176, 808160 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
160 728 3264 15008 67840 315008 1434624
728 2648 9616 37352 144512 593048 2414992
3264 9616 28496 94432 315024 1148176 4196144
15008 37352 94432 274520 808160 2646344 8731840
67840 144512 315024 808160 2113072 6250544 18735792
315008 593048 1148176 2646344 6250544 16899896 46510768
1434624 2414992 4196144 8731840 18735792 46510768 118121744
6722048 10359416 16491760 31384136 61854032 142026104 335161744
30822400 43905728 64635984 113059808 205847920 438922928 966751344
145614848 194994488 269420656 437774312 742330832 1476803288 3047922832
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 4*a(n-1) +44*a(n-2) -176*a(n-3) -480*a(n-4) +1920*a(n-5).
k=2: [order 15].
k=3: [order 21].
k=4: [order 23].
EXAMPLE
Some solutions for n=3, k=4:
4 5 1 4 4 5 0 4 0 3 3 1 5 5 1 4 0 2 5 5
4 1 1 0 4 3 2 2 2 1 2 4 4 0 0 3 3 1 0 4
4 5 1 4 4 5 0 4 0 3 2 0 4 4 0 4 0 2 5 5
0 5 5 4 0 4 3 3 3 2 2 4 4 0 0 4 4 2 1 5
CROSSREFS
Sequence in context: A278122 A233917 A233910 * A234651 A234898 A234891
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 29 2013
STATUS
approved

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Last modified May 26 20:23 EDT 2024. Contains 372844 sequences. (Running on oeis4.)