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A253929 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically 1
2440, 8384, 30184, 109666, 299727, 756553, 1786831, 3803056, 7637333, 14786984, 27386267, 48837015, 84729381, 143415507, 237363264, 385677751, 615912715, 969323806, 1506759547, 2315941896, 3521114537, 5307003996, 7939414563 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A253935
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-4) -44*a(n-5) +53*a(n-6) -8*a(n-7) -79*a(n-8) +196*a(n-9) -235*a(n-10) +88*a(n-11) +172*a(n-12) -472*a(n-13) +612*a(n-14) -392*a(n-15) -70*a(n-16) +656*a(n-17) -1054*a(n-18) +952*a(n-19) -426*a(n-20) -448*a(n-21) +1210*a(n-22) -1400*a(n-23) +1030*a(n-24) -112*a(n-25) -834*a(n-26) +1288*a(n-27) -1216*a(n-28) +584*a(n-29) +200*a(n-30) -728*a(n-31) +903*a(n-32) -628*a(n-33) +163*a(n-34) +232*a(n-35) -445*a(n-36) +364*a(n-37) -151*a(n-38) -32*a(n-39) +137*a(n-40) -116*a(n-41) +45*a(n-42) -20*a(n-44) +16*a(n-45) -4*a(n-46) for n>58
EXAMPLE
Some solutions for n=4
..0..1..1..1....0..0..0..0....0..0..1..0....0..0..0..0....0..0..1..0
..0..0..0..0....1..1..1..1....0..0..0..0....1..1..1..1....1..0..1..0
..0..1..1..1....0..0..0..0....0..1..0..1....0..0..0..1....0..0..1..1
..1..1..1..1....0..1..1..0....0..1..0..1....1..1..1..1....0..1..1..1
..0..0..1..0....0..1..1..1....1..1..0..1....1..1..1..1....0..0..0..1
..1..0..1..1....0..0..1..1....0..1..1..1....1..1..0..0....1..1..1..1
CROSSREFS
Sequence in context: A083625 A253842 A253835 * A233912 A233678 A252554
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2015
STATUS
approved

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Last modified June 18 15:28 EDT 2024. Contains 373481 sequences. (Running on oeis4.)