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Search: id:A096626
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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, 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 (list; graph; listen)
OFFSET

1,5

COMMENT

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

Sequence in context: A008406 A039735 A129385 this_sequence A083279 A159455 A105734

Adjacent sequences: A096623 A096624 A096625 this_sequence A096627 A096628 A096629

KEYWORD

nonn,tabf

AUTHOR

Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 14 2004

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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