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Search: id:A092542
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| A092542 |
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Table below read by antidiagonals alternately upwards and downwards. |
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+0
3
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| 1, 1, 2, 3, 2, 1, 1, 2, 3, 4, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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1 1 1 1 1 ...
2 2 2 2 2 ...
3 3 3 3 3 ...
4 4 4 4 4 ...
...
Let A be sequence A092542 (this sequence) and B be sequence A092543 (1, 2, 1, 1, 2, 3, 4, ...). Under upper trimming or lower trimming, A transforms into B and B transforms into A. Also, B gives the number of times each element of A appears. For example, A(7) = 1 and B(7) = 4 because the 1 in A(7) is the fourth 1 to appear in A. - Kerry Mitchell (lkmitch(AT)gmail.com), Dec 28 2005
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REFERENCES
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Amir D. Aczel, "The Mystery of the Aleph, Mathematics, the Kabbalah and the Search for Infinity", Barnes & Noble, NY 2000, page 112.
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FORMULA
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T(r,c)=r.
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MATHEMATICA
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Table[ Join[Range[2n - 1], Reverse@ Range[2n - 2]], {n, 8}] // Flatten (* Robert G. Wilson v Sep 28 2006 *)
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CROSSREFS
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Cf. A092543.
Sequence in context: A159455 A105734 A076839 this_sequence A026552 A086437 A027907
Adjacent sequences: A092539 A092540 A092541 this_sequence A092543 A092544 A092545
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Sam Alexander (amnalexander(AT)yahoo.com), Feb 27 2004
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