cp's OEIS Frontend

A188981 T(n,k)=Number of nXk array permutations with each element moved but moved no more than a city block distance of two.

%I A188981 #7 Jul 22 2025 11:30:31
%S A188981 0,1,1,2,9,2,4,116,116,4,6,900,7264,900,6,13,7836,295264,295264,7836,
%T A188981 13,24,71865,12838276,54113236,12838276,71865,24,45,640513,577290185,
%U A188981 10523263424,10523263424,577290185,640513,45,84,5706113,25631148992
%N A188981 T(n,k)=Number of nXk array permutations with each element moved but moved no more than a city block distance of two.
%C A188981 Table starts
%C A188981 ...0........1.............2...............4................6...............13
%C A188981 ...1........9...........116.............900.............7836............71865
%C A188981 ...2......116..........7264..........295264.........12838276........577290185
%C A188981 ...4......900........295264........54113236......10523263424....2184414516364
%C A188981 ...6.....7836......12838276.....10523263424....9562891914304.9298230791255360
%C A188981 ..13....71865.....577290185...2184414516364.9298230791255360
%C A188981 ..24...640513...25631148992.446454227170968
%C A188981 ..45..5706113.1136766429824
%C A188981 ..84.51056136
%C A188981 .160
%H A188981 R. H. Hardin, <a href="/A188981/b188981.txt">Table of n, a(n) for n = 1..59</a>
%e A188981 Some solutions for 5X3
%e A188981 ..1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4....1..0..4
%e A188981 ..6..2.11....5..6..7....6..8..2....6..8..2....5..3.11....6..5..8....5..2..3
%e A188981 .12..3..5...12..3..2....3.11.14...12..9..5....8.10..2....9..3..2....8.10.14
%e A188981 .13..9..7...11.13..9...13.12..5....3..7.10...13..7..9...10.14..7...11..6.13
%e A188981 .14.10..8...14.10..8....9..7.10...14.11.13....6.14.12...13.12.11....9..7.12
%Y A188981 Column 1 is A033305
%K A188981 nonn,tabl
%O A188981 1,4
%A A188981 _R. H. Hardin_ Apr 14 2011