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A253844 Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1
28540, 60741, 127483, 284109, 550535, 1139506, 2282367, 3961764, 7017601, 11724584, 19539618, 31606976, 50006761, 77854867, 120313578, 181644323, 270602340, 398497028, 582088318, 838410249, 1195117989, 1688481842 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A253841
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -17*a(n-2) +32*a(n-3) -40*a(n-4) +16*a(n-5) +58*a(n-6) -172*a(n-7) +279*a(n-8) -286*a(n-9) +117*a(n-10) +224*a(n-11) -641*a(n-12) +934*a(n-13) -907*a(n-14) +476*a(n-15) +292*a(n-16) -1140*a(n-17) +1742*a(n-18) -1824*a(n-19) +1269*a(n-20) -222*a(n-21) -999*a(n-22) +1992*a(n-23) -2418*a(n-24) +2148*a(n-25) -1254*a(n-26) +1254*a(n-28) -2148*a(n-29) +2418*a(n-30) -1992*a(n-31) +999*a(n-32) +222*a(n-33) -1269*a(n-34) +1824*a(n-35) -1742*a(n-36) +1140*a(n-37) -292*a(n-38) -476*a(n-39) +907*a(n-40) -934*a(n-41) +641*a(n-42) -224*a(n-43) -117*a(n-44) +286*a(n-45) -279*a(n-46) +172*a(n-47) -58*a(n-48) -16*a(n-49) +40*a(n-50) -32*a(n-51) +17*a(n-52) -6*a(n-53) +a(n-54) for n>86
EXAMPLE
Some solutions for n=3
..0..0..0..1..0....0..0..0..1..1....0..1..0..0..0....0..0..1..1..0
..1..0..0..0..0....1..0..0..0..1....0..0..1..1..0....1..0..1..0..1
..0..0..0..0..1....0..0..0..0..1....0..0..0..0..1....0..0..1..0..1
..0..0..0..1..1....1..1..0..1..1....1..1..1..1..1....0..1..1..0..0
..1..0..0..1..0....0..1..0..1..1....1..1..1..1..1....0..1..1..1..1
..0..1..1..1..1....0..1..1..1..1....0..1..1..1..1....0..1..1..1..1
CROSSREFS
Sequence in context: A205890 A186531 A253837 * A253931 A159056 A017536
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 16 2015
STATUS
approved

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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)