A267976 Number of 2Xn 0..3 arrays with every repeated value in every row greater than or equal to, and in every column greater than, the previous repeated value.

16, 256, 4096, 62500, 929296, 13498276, 192321424, 2695374889, 37241280400, 508180785424, 6858511503376, 91659848427225, 1214228383808400, 15957351268208100, 208196756833645584, 2698422754887026244

Offset

1,1

Comments

Row 2 of A267974.

Links

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

Formula

Empirical: a(n) = 70*a(n-1) -2030*a(n-2) +30793*a(n-3) -246680*a(n-4) +794920*a(n-5) +1553979*a(n-6) -13039450*a(n-7) -13949950*a(n-8) +88507965*a(n-9) +242460400*a(n-10) +242460400*a(n-11) +88507965*a(n-12) -13949950*a(n-13) -13039450*a(n-14) +1553979*a(n-15) +794920*a(n-16) -246680*a(n-17) +30793*a(n-18) -2030*a(n-19) +70*a(n-20) -a(n-21)

Example

Some solutions for n=4
..0..3..3..2....0..3..3..2....0..2..1..0....1..0..3..1....1..0..2..0
..1..2..0..0....1..0..2..0....3..0..1..3....1..3..1..2....3..2..1..1

Crossrefs

Cf. A267974.

Sequence in context: A190134 A267792 A220252 * A220803 A229101 A220175

Adjacent sequences: A267973 A267974 A267975 * A267977 A267978 A267979

Keyword

nonn

Author

R. H. Hardin, Jan 23 2016

Status

approved