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

1,2

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).

Links

Table of n, a(n) for n=1..70.

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 6
5 7 9 11 14
12 15 18 21 25
22 26 30 34 39
35 40 45 50 56

Crossrefs

Cf. A082153, A000326.

Sequence in context: A171026 A064359 A309006 * A354688 A084334 A096878

Adjacent sequences: A082149 A082150 A082151 * A082153 A082154 A082155

Keyword

nonn,tabl

Author

Clark Kimberling, Apr 05 2003

Status

approved