A082154 - OEIS

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A082154

Dispersion of the complement of the hexagonal numbers.

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

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OFFSET

1,2

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..68.

C. Kimberling, Interspersions and Dispersions.

C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321.

Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.

EXAMPLE

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