A263508 - OEIS

A263508

Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order.

%I #8 Sep 11 2023 21:32:23

%S 59,2282,54924,1111442,20380008,337841109,5207863310,75977562458,

%T 1061547321219,14333939101168,188384704889515,2422837596982624,

%U 30621846746565687,381598737516945031,4701011865361444793

%N Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order.

%C Row 2 of A263506.

%H R. H. Hardin, <a href="/A263508/b263508.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..4..7.11....1..2.10.11....0..1..3..6....0..1..6..7....0..2..3..7

%e ..1..5..3..2....5..0..4..3....4.10..7.11....4.10.11..5....4..5.11..6

%e ..9..8..6.10....9..8..7..6....5..8..2..9....8..9..2..3...10..1..8..9

%Y Cf. A263506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 19 2015