A268053 Number of n X 5 0..2 arrays with new values introduced in each row and column in sequential order starting with zero.

1, 16, 422, 14554, 560778, 22501266, 915745002, 37450557314, 1534144563898, 62881338826706, 2577874694337482, 105689219894749474, 4333207020625065818, 177660773919610165746, 7284081735763859949162, 298647211237276504916034

Offset

1,2

Links

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

Formula

Empirical: a(n) = 62*a(n-1) - 969*a(n-2) + 4568*a(n-3) - 5740*a(n-4).

Conjectures from Colin Barker, Jan 11 2019: (Start)

G.f.: x*(1 - 46*x + 399*x^2 - 674*x^3) / ((1 - 2*x)*(1 - 5*x)*(1 - 14*x)*(1 - 41*x)).

a(n) = (38745*2^n + 127428*5^n + 17425*2^(2+n)*7^n + 9800*41^n) / 2092230.

(End)

Example

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

Crossrefs

Column 5 of A268056.

Sequence in context: A317001 A316819 A317569 * A268076 A202546 A220286

Adjacent sequences: A268050 A268051 A268052 * A268054 A268055 A268056

Keyword

nonn

Author

R. H. Hardin, Jan 25 2016

Status

approved