A250922 Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

2007, 50722, 1320397, 34521887, 899626256, 23390844328, 607786907671, 15792648591051, 410386735455738, 10664677285369172, 277143750432312194, 7202144730444536277, 187162132018563957375, 4863780170797367703069

Offset

1,1

Comments

Column 3 of A250927

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 81*a(n-1) -2899*a(n-2) +63295*a(n-3) -958285*a(n-4) +10756670*a(n-5) -93330409*a(n-6) +644640204*a(n-7) -3624496674*a(n-8) +16880394940*a(n-9) -66023717068*a(n-10) +219240302561*a(n-11) -623358921354*a(n-12) +1527544435817*a(n-13) -3241977665792*a(n-14) +5979956364272*a(n-15) -9608041848406*a(n-16) +13461986448007*a(n-17) -16448861092094*a(n-18) +17508255649822*a(n-19) -16196842918537*a(n-20) +12974801039902*a(n-21) -8952649323986*a(n-22) +5282187628341*a(n-23) -2638768086999*a(n-24) +1101316093488*a(n-25) -377022705948*a(n-26) +103145374080*a(n-27) -21690899280*a(n-28) +3292887168*a(n-29) -321226560*a(n-30) +15116544*a(n-31)

Example

Some solutions for n=2
..1..0..0..1....1..2..0..0....2..2..2..0....1..2..0..0....1..2..1..0
..0..1..0..1....1..1..0..0....0..0..0..2....1..1..0..1....0..0..1..2
..0..2..0..0....1..1..1..2....0..2..0..0....2..2..0..0....2..0..1..2

Crossrefs

Sequence in context: A189353 A162244 A295701 * A201343 A219083 A258553

Adjacent sequences: A250919 A250920 A250921 * A250923 A250924 A250925

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved