A234047 - OEIS

A234047

Number of (n+2)X(1+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards

16488, 402000, 9780884, 237966121, 5789254059, 140841087777, 3426377423999, 83356792653385, 2027901056098050, 49334703868796952, 1200212896541783312, 29198736059766709177, 710345797718783050638, 17281266945996322962456

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 1 of A234054

LINKS

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

FORMULA

Empirical: a(n) = 25*a(n-1) -14*a(n-2) -53*a(n-3) +257*a(n-4) -8907*a(n-5) +3783*a(n-6) +24912*a(n-7) -11484*a(n-8) +1593*a(n-9) -5184*a(n-10) -3888*a(n-11)

EXAMPLE

Some solutions for n=1

..2..2..1....2..1..0....1..1..1....2..2..0....2..0..1....0..2..2....2..2..1

..2..0..2....0..2..2....0..1..0....1..0..1....0..2..1....1..0..0....1..2..2

..2..0..2....2..0..0....2..1..2....2..2..2....1..2..2....2..1..0....2..1..1

CROSSREFS

Sequence in context: A211841 A234054 A234055 * A223401 A281480 A170779

Adjacent sequences: A234044 A234045 A234046 * A234048 A234049 A234050

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved