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A254355
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Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically
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1
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2868, 21530, 155358, 998646, 5989018, 34611365, 194880155, 1079370642, 5917060764, 32220109124, 174664000449, 943945603195, 5090591924571, 27411512885846, 147444773325840, 792472479915601, 4256875450985557
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 12*a(n-1) -31*a(n-2) -138*a(n-3) +828*a(n-4) -1152*a(n-5) -516*a(n-6) +3120*a(n-7) -10242*a(n-8) +25971*a(n-9) -21553*a(n-10) -23255*a(n-11) +86873*a(n-12) -181029*a(n-13) +223910*a(n-14) -48622*a(n-15) -281148*a(n-16) +598492*a(n-17) -720262*a(n-18) +410453*a(n-19) +361755*a(n-20) -1153683*a(n-21) +1271501*a(n-22) -724554*a(n-23) -350616*a(n-24) +1664393*a(n-25) -1946703*a(n-26) +936016*a(n-27) +714120*a(n-28) -2211288*a(n-29) +2343444*a(n-30) -862717*a(n-31) -1272388*a(n-32) +2269089*a(n-33) -1454731*a(n-34) -85196*a(n-35) +1313620*a(n-36) -1290256*a(n-37) +181169*a(n-38) +689073*a(n-39) -724485*a(n-40) +253943*a(n-41) +182620*a(n-42) -309028*a(n-43) +159124*a(n-44) +26532*a(n-45) -58848*a(n-46) +14848*a(n-47) +2560*a(n-48) -1024*a(n-49) for n>55
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EXAMPLE
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Some solutions for n=3
..0..1..0..0....0..1..1..1....1..1..0..1....0..0..1..1....0..0..0..1
..1..0..1..0....0..0..1..0....1..0..0..0....0..0..1..1....1..0..1..0
..0..1..1..1....0..0..1..1....1..0..1..1....0..1..1..0....1..1..1..1
..1..1..0..1....0..0..1..1....0..0..1..1....1..1..1..1....1..0..1..1
..1..1..1..0....0..1..1..1....0..0..0..1....1..0..0..1....0..1..1..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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