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

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

Crossrefs

Cf. A082155, A000384.

Sequence in context: A256965 A191708 A368038 * A134564 A016637 A341942

Adjacent sequences: A082151 A082152 A082153 * A082155 A082156 A082157

Keyword

nonn,tabl

Author

Clark Kimberling, Apr 05 2003

Status

approved