| 1, 4, 2, 9, 6, 3, 16, 12, 8, 5, 25, 20, 15, 11, 7, 36, 30, 24, 19, 14, 10, 49, 42, 35, 29, 23, 18, 13, 64, 56, 48, 41, 34, 28, 22, 17, 81, 72, 63, 55, 47, 40, 33, 27, 21, 100, 90, 80, 71, 62, 54, 46, 39, 32, 26, 121, 110, 99, 89, 79, 70, 61, 53, 45, 38, 31, 144, 132, 120, 109
(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. (Row 1) = squares = A000290(n) = n^2. (Dispersion of complement of column 1 of A082156) = (Transpose of A056537).
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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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FORMULA
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The transpose of A056536.
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EXAMPLE
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Northwest corner:
1 4 9 16 25
2 6 12 20 30
3 8 15 24 35
5 11 19 29 41
7 14 23 34 47
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CROSSREFS
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Cf. A056536, A000290.
Adjacent sequences: A082153 A082154 A082155 this_sequence A082157 A082158 A082159
Sequence in context: A002246 A008831 A095833 this_sequence A114577 A101690 A104583
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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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