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Search: id:A154558
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| 1, 1, 2, 1, 4, 4, 1, 6, 12, 9, 1, 8, 24, 36, 21, 1, 10, 40, 90, 105, 51, 1, 12, 60, 180, 315, 306, 127, 1, 14, 84, 315, 735, 1071, 889, 323, 1, 16, 112, 504, 1470, 2856, 3556, 2584, 835, 1, 18, 144, 756, 2646, 6426, 10668, 11628, 7515, 2188
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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Row sums = A000245 starting with offset 1: (1, 3, 9, 28, 90, 297,...).
Right border = A001006 starting with offset 1.
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FORMULA
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Binomial transform of a diagonalized version of the Motzkin sequence:
(A001006 (1, 2, 4, 9, 21, 51,...) as the main diagonal and the rest zeros.)
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EXAMPLE
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First few rows of the triangle =
1;
1, 2;
1, 4, 4;
1, 6, 12, 9;
1, 8, 24, 36, 21;
1, 10, 40, 90, 105, 51;
1, 12, 60, 180, 315, 306, 127;
1, 14, 84, 315, 735, 1071, 889, 323;
1, 16, 112, 504, 1470, 2856, 3556, 2584, 835;
1, 18, 144, 756, 2646, 6426, 10668, 11628, 7515, 2188;
1, 20, 180, 1080, 4410, 12852, 26670, 38760, 37575, 21880, 5798;
...
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CROSSREFS
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Cf. A001006, A000245
Sequence in context: A097750 A133544 A013609 this_sequence A008572 A118976 A138177
Adjacent sequences: A154555 A154556 A154557 this_sequence A154559 A154560 A154561
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 11 2009
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