|
%I #4 Jun 29 2015 15:42:35
%S 12,38,38,120,208,120,380,1122,1122,380,1204,6100,10148,6100,1204,
%T 3816,33162,93028,93028,33162,3816,12096,180370,851604,1447270,851604,
%U 180370,12096,38344,981092,7802386,22453286,22453286,7802386,981092,38344
%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0001 0011 0101 or 1111
%C Table starts
%C .....12.......38........120...........380............1204..............3816
%C .....38......208.......1122..........6100...........33162............180370
%C ....120.....1122......10148.........93028..........851604...........7802386
%C ....380.....6100......93028.......1447270........22453286.........348802846
%C ...1204....33162.....851604......22453286.......589476522.......15503669216
%C ...3816...180370....7802386.....348802846.....15503669216......690701197282
%C ..12096...981092...71482990....5417785744....407656116320....30760063948568
%C ..38344..5336678..654942820...84159480298..10720344908210..1370113260798484
%C .121552.29029222.6000746068.1307320968014.281914700860322.61026150956984294
%H R. H. Hardin, <a href="/A259524/b259524.txt">Table of n, a(n) for n = 1..364</a>
%F Empirical for column k:
%F k=1: a(n) = 4*a(n-1) -2*a(n-2) -2*a(n-3)
%F k=2: a(n) = 7*a(n-1) -7*a(n-2) -10*a(n-3) +10*a(n-4) +2*a(n-5)
%F k=3: [order 10]
%F k=4: [order 19]
%F k=5: [order 36]
%F k=6: [order 71]
%e Some solutions for n=3 k=4
%e ..0..0..1..0..1....0..0..0..0..0....0..1..0..0..0....0..1..0..1..1
%e ..1..1..0..0..1....1..0..0..0..0....0..0..0..0..0....1..0..1..0..0
%e ..0..0..0..0..1....0..0..0..0..1....1..0..1..1..0....0..0..0..0..0
%e ..1..0..0..0..1....0..1..0..1..0....1..0..1..1..0....1..0..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 29 2015
| 