cp's OEIS Frontend

A189280 T(n,k) = number of n X k array permutations with each element not moved or moved diagonally or antidiagonally by one.

%I A189280 #7 Sep 03 2024 08:49:35
%S A189280 1,1,1,1,4,1,1,9,9,1,1,25,45,25,1,1,64,225,225,64,1,1,169,1125,2704,
%T A189280 1125,169,1,1,441,5625,29241,29241,5625,441,1,1,1156,28125,323761,
%U A189280 670480,323761,28125,1156,1,1,3025,140625,3553225,15594601,15594601,3553225
%N A189280 T(n,k) = number of n X k array permutations with each element not moved or moved diagonally or antidiagonally by one.
%C A189280 Table starts
%C A189280 .1....1.......1..........1.............1................1...................1
%C A189280 .1....4.......9.........25............64..............169.................441
%C A189280 .1....9......45........225..........1125.............5625...............28125
%C A189280 .1...25.....225.......2704.........29241...........323761.............3553225
%C A189280 .1...64....1125......29241........670480.........15594601...........361199937
%C A189280 .1..169....5625.....323761......15594601........787195249.........39085685401
%C A189280 .1..441...28125....3553225.....361199937......39085685401.......4145792570105
%C A189280 .1.1156..140625...39100009....8366395024....1949419118656.....441979857682489
%C A189280 .1.3025..703125..429981696..193788877917...97069135502689...47045498167288233
%C A189280 .1.7921.3515625.4729725529.4488512569321.4835817858602025.5009341586507664025
%H A189280 R. H. Hardin, <a href="/A189280/b189280.txt">Table of n, a(n) for n = 1..180</a>
%e A189280 Some solutions for 5X3
%e A189280 ..0..5..4....0..5..2....0..5..2....0..3..2....0..1..4....0..1..2....0..5..4
%e A189280 ..3..2..1....3..6..1....3..8..1....1..6..5....3..2..5....7..4..5....3..2..1
%e A189280 ..6.11..8....4..9..8...10.11..4....4..9..8...10.11..8....6..3.10....6.11..8
%e A189280 ..7.14.13....7.14.13....7..6.13....7.10.13....9..6..7...13..8.11....9.10..7
%e A189280 .12..9.10...12.11.10...12..9.14...12.11.14...12.13.14...12..9.14...12.13.14
%K A189280 nonn,tabl
%O A189280 1,5
%A A189280 _R. H. Hardin_, Apr 19 2011