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A234706 Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 1
1730, 7154, 28170, 127586, 546362, 2630882, 11903466, 59901074, 281693210, 1465393634, 7088270730, 37835231666, 186909507002, 1018178950082, 5110859386026, 28298492397074, 143792918144090, 806722604366114 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 12*a(n-1) +159*a(n-2) -2412*a(n-3) -9452*a(n-4) +217248*a(n-5) +161262*a(n-6) -11578680*a(n-7) +10718427*a(n-8) +405901116*a(n-9) -824307633*a(n-10) -9828766476*a(n-11) +28650887914*a(n-12) +167599827384*a(n-13) -632763934044*a(n-14) -2003077953360*a(n-15) +9664372451624*a(n-16) +16138030431072*a(n-17) -105143721192576*a(n-18) -76625123046912*a(n-19) +819575849887488*a(n-20) +75093856109568*a(n-21) -4528143100320768*a(n-22) +1633754973450240*a(n-23) +17236678723430400*a(n-24) -11938042414080000*a(n-25) -42782336704512000*a(n-26) +40275310510080000*a(n-27) +62010467205120000*a(n-28) -70124998164480000*a(n-29) -39609913835520000*a(n-30) +50565847449600000*a(n-31).
EXAMPLE
Some solutions for n=4:
5 0 6 0 0 1 6 2 7 1 6 1 4 7 3 2 6 2 6 2 5
1 2 2 0 6 1 2 4 3 7 6 7 3 0 2 7 5 7 3 5 2
5 0 6 6 6 7 5 1 6 1 6 1 2 5 1 2 6 2 5 1 4
1 2 2 6 0 7 5 7 6 5 4 5 7 4 6 5 3 5 1 3 0
6 1 7 4 4 5 5 1 6 1 6 1 1 4 0 2 6 2 5 1 4
CROSSREFS
Column 2 of A234712.
Sequence in context: A339878 A258166 A130876 * A211853 A252454 A256807
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 29 2013
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)