A082152 Dispersion of the complement of the pentagonal numbers.

1, 2, 5, 3, 7, 12, 4, 9, 15, 22, 6, 11, 18, 26, 35, 8, 14, 21, 30, 40, 51, 10, 17, 25, 34, 45, 57, 70, 13, 20, 29, 39, 50, 63, 77, 92, 16, 24, 33, 44, 56, 69, 84, 100, 117, 19, 28, 38, 49, 62, 76, 91, 108, 126, 145, 23, 32, 43, 55, 68, 83, 99, 116, 135, 155, 176, 27, 37, 48, 61

Offset: 1

Author

Clark Kimberling, Apr 05 2003

Keywords

• nonn
• tabl

Comments

Rectangular array read by antidiagonals; a permutation of the natural numbers. (column 1) = (pentagonal numbers) = A000326(n) = n(3n-1)/2. (Dispersion of complement of column 1 of A082152) = (Transpose of A082153).

Examples

			Northwest corner:
1 2 3 4 6
5 7 9 11 14
12 15 18 21 25
22 26 30 34 39
35 40 45 50 56
		

Links

• 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.

Crossrefs

Cf. A082153, A000326.