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Search: id:A117267
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| 1, 1, 2, 2, 3, 5, 4, 6, 9, 14, 7, 11, 17, 26, 40, 13, 20, 31, 48, 74, 114, 24, 37, 57, 88, 136, 210, 324, 44, 68, 105, 162, 250, 386, 596, 920, 81, 125, 193, 298, 460, 710, 1096, 1692, 2612
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Leftmost column of the triangle = the tribonacci sequence A000073: (1, 1, 2, 4, 7, 13...); rightmost diagonal of the triangle = A117189, binomial transform of the tribonacci sequence: (1, 2, 5, 14, 40, 114...). Difference rows of A117267 generate the triangle A117268.
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FORMULA
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Take difference rows of A117189 (binomial transform of the tribonacci sequence, A000073); and reorient to a flush left format.
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EXAMPLE
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Taking difference rows of A117189, we get:
1, 2, 5, 14, 40, 114,...
1, 3, 9, 26, 74,...
2, 6, 17, 48,...
4, 11, 3l,...
7, 20,...
23,...
Reorient into the triangle:
1,
1, 2,
2, 3, 5,
4, 6, 9, 14,
7, 11, 17, 26, 40,
...
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CROSSREFS
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Cf. A000073, A117268, A117189.
Sequence in context: A026408 A036716 A026399 this_sequence A086363 A139171 A050174
Adjacent sequences: A117264 A117265 A117266 this_sequence A117268 A117269 A117270
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 05 2006
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