%I A096626
%S A096626 1,1,1,1,2,3,2,1,1,1,2,5,7,6,4,2,3,8,14,18,17,12,6,2,1,1,3,11,25,40,49,
%T A096626 47,35,20,9,3,4,15,39,76,114,136,131,102,64,32,12,3,1,1,4,19,58,130,229,
%U A096626 326,381,369,297,198,108,47,16,4,5,24,81,207,417,685,936,1076,1047,864
%N A096626 Triangle (read by rows) where the number of row entries increases by 
               steps of 2 and the entries are stacked in a rectangular fashion. 
               The left end entry = 1 if row number is even, the right end entry 
               = 1 if row number is odd. Rest of entries = sum of the entry directly 
               above in the previous row plus the two entries (when present) in 
               the previous row that are either to the left (if the current row 
               number is even) or to the right (if odd).
%C A096626 The row sums are powers of 3 (A000244).
%e A096626 ........................1........................
%e A096626 ....................1...1...1....................
%e A096626 ................2...3...2...1...1................
%e A096626 ............1...2...5...7...6...4...2............
%e A096626 ........3...8..14..18..17..12...6...2...1........
%e A096626 .....1..3..11..25..40..49..47..35..20...9..3.....
%e A096626 ..4.15.39..76.114.136.131.102..64..32..12..3..1..
%e A096626 1.4.19.58.130.229.326.381.369.297.198.108.47.16.4
%Y A096626 Sequence in context: A008406 A039735 A129385 this_sequence A083279 A159455 
               A105734
%Y A096626 Adjacent sequences: A096623 A096624 A096625 this_sequence A096627 A096628 
               A096629
%K A096626 nonn,tabf
%O A096626 1,5
%A A096626 Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 14 2004