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A082152 Dispersion of the complement of the pentagonal numbers. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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: A083190 A171026 A064359 * A084334 A096878 A249162

Adjacent sequences:  A082149 A082150 A082151 * A082153 A082154 A082155

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Apr 05 2003

STATUS

approved

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Last modified June 25 22:16 EDT 2019. Contains 324358 sequences. (Running on oeis4.)