A219620 - OEIS

A219620

Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array.

%I #7 Dec 27 2023 12:08:05

%S 3,11,130,5072,556742,172829660,149566037863,395003219927359

%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array.

%C Diagonal of A219627.

%e Some solutions for n=3

%e ..0..0..2....0..0..1....0..0..1....0..0..1....0..0..0....0..0..0....0..0..0

%e ..1..1..0....1..1..0....1..0..0....0..0..0....0..0..0....0..2..2....0..0..2

%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..1..1....2..2..2....1..1..2

%Y Cf. A219627.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 24 2012