A269780 Table read by antidiagonals where T(i,j) is the location of the pair (i,j) in A269501.

1, 2, 4, 5, 3, 9, 10, 8, 7, 16, 17, 15, 6, 14, 25, 26, 24, 13, 12, 23, 36, 37, 35, 22, 11, 21, 34, 49, 50, 48, 33, 20, 19, 32, 47, 64, 65, 63, 46, 31, 18, 30, 45, 62, 81, 82, 80, 61, 44, 29, 28, 43, 60, 79, 100, 101, 99, 78, 59, 42, 27, 41, 58, 77, 98, 121, 122, 120, 97, 76, 57, 40, 39, 56, 75, 96, 119, 144

Offset

1,2

Comments

This is trivially a permutation of the positive integers.

The "location" of the pair is taken to be the index of the second element of the pair.

Links

Table of n, a(n) for n=1..78.

Formula

T(i,j) :=

if i=1, then (j-1)^2 + 1,

if i>j, then i^2 - 2j + 2,

and otherwise j^2 - 2i + 3.

Example

The table starts:
   1,  2,  5, 10, 17, 26
   4,  3,  8, 15, 24, 35
   9,  7,  6, 13, 22, 33
  16, 14, 12, 11, 20, 31
  25, 23, 21, 19, 18, 29
  36, 34, 32, 30, 28, 27

Crossrefs

Cf. A269501, A097292, A002522 (top row, left shifted).

If 1 is subtracted from each term we get A316323.

Sequence in context: A245814 A060736 A097292 * A038776 A210863 A245816

Adjacent sequences: A269777 A269778 A269779 * A269781 A269782 A269783

Keyword

nonn,tabl

Author

Franklin T. Adams-Watters, Mar 04 2016

Status

approved