# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a189973 Showing 1-1 of 1 %I A189973 #5 Mar 31 2012 12:36:19 %S A189973 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,0,0,8,16,8,0,0,0,0,12,28, %T A189973 28,12,0,0,0,0,16,40,48,40,16,0,0,0,0,20,56,68,68,56,20,0,0,0,0,24,72, %U A189973 96,96,96,72,24,0,0,0,0,28,88,124,136,136,124,88,28,0,0,0,0,32,104,152,180,192 %N A189973 T(n,k)=Number of 3:4:5 proportioned triangles on a (n+1)X(k+1) grid %C A189973 Table starts %C A189973 .0.0..0...0...0...0...0...0...0...0...0....0....0....0....0....0....0....0....0 %C A189973 .0.0..0...0...0...0...0...0...0...0...0....0....0....0....0....0....0....0....0 %C A189973 .0.0..0...4...8..12..16..20..24..28..32...36...40...44...48...52...56...60...64 %C A189973 .0.0..4..16..28..40..56..72..88.104.120..136..152..168..184..200..216..232..248 %C A189973 .0.0..8..28..48..68..96.124.152.180.208..236..264..292..320..348..376..404..432 %C A189973 .0.0.12..40..68..96.136.180.224.268.316..364..412..460..508..556..604..652..700 %C A189973 .0.0.16..56..96.136.192.256.320.384.456..528..600..672..744..816..888..960.1032 %C A189973 .0.0.20..72.124.180.256.344.432.524.628..732..836..944.1052.1160.1268.1376.1484 %C A189973 .0.0.24..88.152.224.320.432.544.664.800..940.1080.1228.1380.1532.1684.1840.1996 %C A189973 .0.0.28.104.180.268.384.524.664.816.988.1168.1348.1540.1740.1940.2140.2348.2556 %H A189973 R. H. Hardin, Table of n, a(n) for n = 1..10025 %F A189973 Empirical for column k: %F A189973 k=3: a(n) = 4*n - 12 for n>2 %F A189973 k=4: a(n) = 16*n - 56 for n>5 %F A189973 k=5: a(n) = 28*n - 100 for n>5 %F A189973 k=6: a(n) = 48*n - 212 for n>9 %F A189973 k=7: a(n) = 72*n - 336 for n>9 %F A189973 k=8: a(n) = 108*n - 568 for n>12 %F A189973 k=9: a(n) = 156*n - 968 for n>16 %F A189973 k=10: a(n) = 208*n - 1396 for n>16 %F A189973 k=11: a(n) = 264*n - 1844 for n>16 %F A189973 k=12: a(n) = 352*n - 2828 for n>23 %F A189973 k=13: a(n) = 444*n - 3856 for n>23 %F A189973 k=14: a(n) = 540*n - 4912 for n>23 %e A189973 Some solutions for n=7 k=5 %e A189973 ..3..3....1..5....2..0....2..4....7..1....6..4....7..5....7..1....4..3....2..3 %e A189973 ..3..0....1..1....2..4....2..0....3..1....3..4....4..5....4..1....0..3....2..0 %e A189973 ..7..3....4..5....5..0....5..4....7..4....6..0....7..1....7..5....4..0....6..3 %K A189973 nonn,tabl %O A189973 1,18 %A A189973 _R. H. Hardin_ May 03 2011 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE