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A250497 Number of (n+2)X(1+2) 0..1 arrays with nondecreasing medians of every three consecutive values in every row and column 1
512, 2744, 13824, 68921, 314432, 1367631, 5832000, 24137569, 97336000, 385828352, 1505060136, 5783534875, 21952000000, 82426462208, 306454670488, 1129412837944, 4129885013184, 14994306423179, 54087346107432 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A250504
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -20*a(n-2) +44*a(n-3) -190*a(n-4) +292*a(n-5) -242*a(n-6) +1552*a(n-7) -933*a(n-8) -728*a(n-9) -7846*a(n-10) -2828*a(n-11) +2191*a(n-12) +22952*a(n-13) +13106*a(n-14) -556*a(n-15) -37208*a(n-16) -18168*a(n-17) +6972*a(n-18) +33492*a(n-19) -4164*a(n-20) -5916*a(n-21) -10326*a(n-22) +9744*a(n-23) -1676*a(n-24) +5224*a(n-25) -6310*a(n-26) +2776*a(n-27) -2345*a(n-28) +2396*a(n-29) -1876*a(n-30) +1244*a(n-31) -1086*a(n-32) +704*a(n-33) -410*a(n-34) +212*a(n-35) -109*a(n-36) +40*a(n-37) -14*a(n-38) +4*a(n-39) -a(n-40)
EXAMPLE
Some solutions for n=4
..1..0..1....1..0..0....1..1..0....0..0..1....1..0..0....1..0..1....0..0..0
..0..1..0....0..0..0....0..1..0....0..0..1....0..0..1....0..1..1....1..1..0
..0..1..0....1..1..0....0..0..1....0..1..1....0..0..0....0..0..1....1..0..1
..0..1..0....1..1..1....1..1..0....1..0..1....0..0..0....0..0..0....1..1..1
..1..0..0....0..1..0....0..1..0....0..0..1....0..1..1....0..1..1....0..1..0
..0..1..0....1..0..1....0..1..0....1..1..1....1..1..1....0..0..1....1..0..1
CROSSREFS
Sequence in context: A250826 A250504 A250820 * A254260 A254306 A258530
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 24 2014
STATUS
approved

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Last modified April 13 23:25 EDT 2024. Contains 371652 sequences. (Running on oeis4.)