|
%I #4 Dec 19 2014 07:22:05
%S 303,567,567,1218,1151,1218,2792,2784,2784,2792,6709,6978,7769,6978,
%T 6709,16123,18454,22623,22623,18454,16123,39372,49782,71730,81441,
%U 71730,49782,39372,97138,136336,232461,318274,318274,232461,136336,97138,239542
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5
%C Table starts
%C ....303.....567.....1218......2792.......6709.......16123.........39372
%C ....567....1151.....2784......6978......18454.......49782........136336
%C ...1218....2784.....7769.....22623......71730......232461........769153
%C ...2792....6978....22623.....81441.....318274.....1274571.......5243537
%C ...6709...18454....71730....318274....1547711.....7784629......39981376
%C ..16123...49782...232461...1274571....7784629....49281939.....316795305
%C ..39372..136336...769153...5243537...39981376...316795305....2541062469
%C ..97138..380466..2611733..21992185..208234989..2057691985...20524278619
%C .239542.1070438..8938660..92865411.1092285060.13442718714..166610320583
%C .594231.3029761.30784161.394359153.5754373518.88067778670.1355378246529
%H R. H. Hardin, <a href="/A252605/b252605.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 43] for n>47
%F k=2: [order 66] for n>69
%F k=3: [order 75] for n>80
%e Some solutions for n=4 k=4
%e ..2..2..2..2..2..0....2..0..2..2..2..2....2..1..1..1..2..1....0..2..1..0..2..1
%e ..2..2..2..2..2..2....2..2..2..2..2..0....1..1..1..1..1..1....2..1..0..2..1..0
%e ..2..2..2..2..2..2....2..2..0..2..2..2....1..1..1..1..1..1....1..0..2..2..0..2
%e ..0..2..2..2..2..2....2..2..2..2..2..2....1..1..1..2..1..1....0..2..1..0..2..2
%e ..2..0..2..2..2..2....2..2..2..2..2..2....1..2..1..1..1..1....2..1..0..2..2..2
%e ..2..2..0..2..2..0....2..2..2..2..2..0....1..1..1..1..1..1....1..0..2..2..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 19 2014
| 