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A254991
Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally and vertically
2
512, 2679, 10762, 44548, 193488, 827673, 3456356, 14347670, 59706588, 248566303, 1033130316, 4290307069, 17817336950, 74000251757, 307313144732, 1276118644644, 5299027913826, 22004176592350, 91371821842232
OFFSET
1,1
COMMENTS
Column 1 of A254998
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -23*a(n-2) +44*a(n-3) -66*a(n-4) -8*a(n-5) +140*a(n-6) -330*a(n-7) +1242*a(n-8) -2238*a(n-9) +3095*a(n-10) -3686*a(n-11) +800*a(n-12) +3024*a(n-13) -10566*a(n-14) +29630*a(n-15) -49344*a(n-16) +46186*a(n-17) -50188*a(n-18) +48446*a(n-19) +15531*a(n-20) -117740*a(n-21) +178416*a(n-22) -218922*a(n-23) +361814*a(n-24) -321718*a(n-25) +46758*a(n-26) +27060*a(n-27) -20770*a(n-28) +400582*a(n-29) -819637*a(n-30) +440604*a(n-31) +150305*a(n-32) +416494*a(n-33) -832954*a(n-34) -170232*a(n-35) +836549*a(n-36) +137570*a(n-37) -854341*a(n-38) -351998*a(n-39) +1162124*a(n-40) +31976*a(n-41) -958036*a(n-42) +16048*a(n-43) +573824*a(n-44) -177168*a(n-45) -427248*a(n-46) +99264*a(n-47) +163584*a(n-48) -13824*a(n-49) -20736*a(n-50) for n>54
EXAMPLE
Some solutions for n=4
..0..0..1....1..0..1....0..0..0....0..1..0....1..1..0....0..0..0....0..1..1
..0..0..1....1..0..1....0..0..0....0..0..0....0..1..1....1..1..1....0..1..1
..0..1..1....1..1..0....1..1..0....1..0..0....1..1..1....1..1..0....1..0..1
..1..1..1....0..0..1....1..0..0....0..1..0....0..1..1....0..0..1....1..0..0
..1..0..1....0..0..1....0..1..1....0..1..0....0..0..1....0..1..1....1..0..0
..1..0..1....1..1..0....1..1..0....0..1..1....0..0..1....1..1..1....0..1..1
CROSSREFS
Sequence in context: A254982 A258511 A254998 * A186840 A224643 A186832
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 11 2015
STATUS
approved