login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A218516
Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..3 n X 2 array.
1
4, 36, 236, 1528, 9858, 63592, 410218, 2646208, 17069998, 110114102, 710317326, 4582071648, 29557748082, 190669317026, 1229957991200, 7934137929012, 51181052626992, 330155610028966, 2129747655406998, 13738446168804038
OFFSET
1,1
COMMENTS
Column 2 of A218522.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) + 3*a(n-2) - 4*a(n-4) + a(n-5).
Empirical g.f.: 2*x*(2 + 6*x + 4*x^2 + 2*x^3 - x^4) / (1 - 6*x - 3*x^2 + 4*x^4 - x^5). - Colin Barker, Jul 24 2018
EXAMPLE
Some solutions for n=3:
..0..0....1..1....3..1....2..2....2..2....2..2....1..0....0..0....3..2....2..1
..0..0....3..3....0..0....3..2....2..1....2..1....0..0....2..0....0..0....1..1
..0..2....0..0....0..3....2..2....0..0....1..1....0..0....0..0....0..1....1..3
CROSSREFS
Cf. A218522.
Sequence in context: A018217 A003488 A295411 * A119579 A202797 A294832
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 31 2012
STATUS
approved