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Search: id:A082154
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| A082154 |
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Dispersion of the complement of the hexagonal numbers. |
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+0
2
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| 1, 2, 6, 3, 8, 15, 4, 10, 18, 28, 5, 12, 21, 32, 45, 7, 14, 24, 36, 50, 66, 9, 17, 27, 40, 55, 72, 91, 11, 20, 31, 44, 60, 78, 98, 120, 13, 23, 35, 49, 65, 84, 105, 128, 153, 16, 26, 39, 54, 71, 90, 112, 136, 162, 190, 19, 30, 43, 59, 77, 97, 119, 144, 171, 200, 231, 22, 34
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Rectangular array read by antidiagonals; a permutation of the natural numbers. (column 1) = (hexagonal numbers) = A000384(n) = n(2n-1). (Dispersion of complement of column 1 of A082154) = (Transpose of A082155).
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REFERENCES
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C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society, 117 (1993), 313-321.
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LINKS
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C. Kimberling, Interspersions and Dispersions.
Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.
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EXAMPLE
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Northwest corner:
1 2 3 4 5
6 8 10 12 14
15 18 21 24 27
28 32 36 40 44
45 50 55 60 65
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CROSSREFS
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Cf. A082155, A000384.
Adjacent sequences: A082151 A082152 A082153 this_sequence A082155 A082156 A082157
Sequence in context: A011447 A076041 A021383 this_sequence A134564 A016637 A133917
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Apr 05 2003
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