login
A219167
Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array.
2
3, 7, 23, 53, 103, 182, 302, 478, 728, 1073, 1537, 2147, 2933, 3928, 5168, 6692, 8542, 10763, 13403, 16513, 20147, 24362, 29218, 34778, 41108, 48277, 56357, 65423, 75553, 86828, 99332, 113152, 128378, 145103, 163423, 183437, 205247, 228958, 254678
OFFSET
1,1
COMMENTS
Column 2 of A219173.
LINKS
FORMULA
Empirical: a(n) = (1/8)*n^4 - (3/4)*n^3 + (55/8)*n^2 - (49/4)*n + 8 for n>1.
Conjectures from Colin Barker, Mar 11 2018: (Start)
G.f.: x*(3 - 8*x + 18*x^2 - 22*x^3 + 13*x^4 - x^5) / (1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>6.
(End)
EXAMPLE
Some solutions for n=3:
..1..1....0..0....0..0....1..0....1..1....0..0....1..1....2..2....0..0....1..1
..1..1....0..0....0..0....0..0....1..1....0..0....1..1....2..2....0..1....1..1
..2..1....2..2....2..0....2..0....1..2....1..2....1..1....2..2....2..1....2..2
CROSSREFS
Cf. A219173.
Sequence in context: A205491 A203253 A179491 * A293466 A231722 A168612
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 13 2012
STATUS
approved