cp's OEIS Frontend

A189438 Number of 6Xn array permutations with each element not moving, or moving one space N, SW or SE.

%I A189438 #7 Jul 22 2025 11:45:01
%S A189438 1,41,367,4653,52241,606201,6944573,79826592,916320775,10522129613,
%T A189438 120807652475,1387081546065,15925843986549,182854110096077,
%U A189438 2099453348053203,24105043866210197,276763962980421232
%N A189438 Number of 6Xn array permutations with each element not moving, or moving one space N, SW or SE.
%C A189438 Row 6 of A189435
%H A189438 R. H. Hardin, <a href="/A189438/b189438.txt">Table of n, a(n) for n = 1..200</a>
%F A189438 Empirical: a(n) = 15*a(n-1) -23*a(n-2) -262*a(n-3) +680*a(n-4) +550*a(n-5) -1875*a(n-6) +1927*a(n-7) -3037*a(n-8) +822*a(n-9) -652*a(n-10) +98*a(n-11) -33*a(n-12) +3*a(n-13) +a(n-14)
%e A189438 Some solutions for 6X3
%e A189438 ..0..1..2....3..1..2....0..4..5....3..1..2....0..4..5....0..1..2....0..1..2
%e A189438 ..3..4..5....6..0..5....6..2..1....6..0..5....3..2..1....3..4..5....3..7..5
%e A189438 ..6..7.11....9.10..4....9..3.11....9..7..4....6..7.11....6.10.11....4.10..8
%e A189438 ..9..8.14....7..8.11....7..8.14...12..8.14....9..8.14....9..8..7...12..6.11
%e A189438 .12.13.10...12.13.14...15.16.10...10.11.17...10.16.17...15.16.14...15..9.14
%e A189438 .15.16.17...15.16.17...13.12.17...15.16.13...15.12.13...13.12.17...13.16.17
%K A189438 nonn
%O A189438 1,2
%A A189438 _R. H. Hardin_ Apr 22 2011