cp's OEIS Frontend

A189646 Number of nX5 array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.

%I A189646 #7 Jul 22 2025 11:51:42
%S A189646 8,913,55440,3774889,250758892,16718653553,1113666564608,
%T A189646 74192202677913,4942510226322656,329259659094878233,
%U A189646 21934564726533463456,1461233359853832299585,97344209607823094421972
%N A189646 Number of nX5 array permutations with each element moving zero or one space horizontally, diagonally or antidiagonally.
%C A189646 Column 5 of A189650
%H A189646 R. H. Hardin, <a href="/A189646/b189646.txt">Table of n, a(n) for n = 1..200</a>
%F A189646 Empirical: a(n) = 89*a(n-1) -1477*a(n-2) -4543*a(n-3) +263184*a(n-4) -1513204*a(n-5) -1306752*a(n-6) +35401892*a(n-7) -159365905*a(n-8) +257149805*a(n-9) +892208731*a(n-10) -4513333219*a(n-11) +8558134152*a(n-12) -9089002608*a(n-13) +1918713192*a(n-14) +3308770976*a(n-15) +1073595261*a(n-16) -4640349293*a(n-17) +2869297905*a(n-18) +15602314555*a(n-19) -10326794520*a(n-20) -3875198300*a(n-21) +90669080*a(n-22) -191023620*a(n-23) +60740373*a(n-24) +9063*a(n-25) -262791*a(n-26) -729*a(n-27)
%e A189646 Some solutions for 3X5
%e A189646 ..0..1..6..2..4....0..1..2..9..3....0..5..3..2..8....0..7..3..4..8
%e A189646 ..5.12..7..8..3....6..5..7..4..8....1.12..7..4..9....1..6.13..2..9
%e A189646 .11.10.13..9.14...10.11.12.13.14....6.10.11.13.14...10..5.11.12.14
%K A189646 nonn
%O A189646 1,1
%A A189646 _R. H. Hardin_ Apr 24 2011