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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).
0
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, 47, 35, 20, 9, 3, 4, 15, 39, 76, 114, 136, 131, 102, 64, 32, 12, 3, 1, 1, 4, 19, 58, 130, 229, 326, 381, 369, 297, 198, 108, 47, 16, 4, 5, 24, 81, 207, 417, 685, 936, 1076, 1047, 864
OFFSET
1,5
COMMENTS
The row sums are powers of 3 (A000244).
EXAMPLE
........................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..47..35..20...9..3.....
..4.15.39..76.114.136.131.102..64..32..12..3..1..
1.4.19.58.130.229.326.381.369.297.198.108.47.16.4
CROSSREFS
Cf. A000244.
Sequence in context: A376611 A129385 A217983 * A083279 A306239 A159455
KEYWORD
nonn,tabf
AUTHOR
Gerald McGarvey, Aug 14 2004
STATUS
approved