cp's OEIS Frontend

A216460 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.

%I A216460 #8 Jul 22 2025 23:32:10
%S A216460 1,1,1,1,1,2,1,1,2,2,2,2,7,5,5,2,5,15,20,15,5,5,15,203,203,322,52,15,
%T A216460 5,52,716,3429,4140,1335,203,15,15,203,17733,83440,580479,115975,
%U A216460 36401,877,52,15,877,83440,2711768,18171918,20880505,4213597,192713,4140,52,52
%N A216460 T(n,k)=Number of horizontal, diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.
%C A216460 Table starts
%C A216460 ...1......1..........1............1...............2................2
%C A216460 ...1......1..........1............2...............5...............15
%C A216460 ...2......2..........7...........15.............203..............716
%C A216460 ...2......5.........20..........203............3429............83440
%C A216460 ...5.....15........322.........4140..........580479.........18171918
%C A216460 ...5.....52.......1335.......115975........20880505.......6423127757
%C A216460 ..15....203......36401......4213597......8195008751....3376465219485
%C A216460 ..15....877.....192713....190899322....484968748793.2486327138729353
%C A216460 ..52...4140....7712455..10480142147.348950573407587
%C A216460 ..52..21147...49055292.682076806159
%C A216460 .203.115975.2659544320
%C A216460 .203.678570
%H A216460 R. H. Hardin, <a href="/A216460/b216460.txt">Table of n, a(n) for n = 1..96</a>
%e A216460 Some solutions for n=4 k=4
%e A216460 ..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x
%e A216460 ..x..2..x..3....x..2..x..3....x..2..x..3....x..2..x..3....x..2..x..3
%e A216460 ..4..x..5..x....0..x..4..x....4..x..5..x....3..x..0..x....0..x..1..x
%e A216460 ..x..1..x..0....x..1..x..2....x..1..x..2....x..2..x..3....x..4..x..2
%Y A216460 Column 2 is A000110(n-1)
%Y A216460 Column 4 is A020557(n-1)
%Y A216460 Column 6 is A208051
%Y A216460 Row 2 is A000110(n-2)
%Y A216460 Odd squares: A216612
%K A216460 nonn,tabl
%O A216460 1,6
%A A216460 _R. H. Hardin_ Sep 07 2012