A323335 Square array T(n, k) read by antidiagonals upwards, n >= 0 and k >= 0: the point with coordinates X=k and Y=n is the T(n, k)-th term of the first type of Wunderlich curve.

1, 2, 6, 3, 5, 7, 48, 4, 8, 16, 49, 47, 9, 15, 17, 54, 50, 46, 10, 14, 18, 55, 53, 51, 45, 11, 13, 19, 56, 60, 52, 44, 40, 12, 20, 24, 57, 59, 61, 43, 41, 39, 21, 23, 25, 462, 58, 62, 70, 42, 38, 30, 22, 26, 106, 463, 461, 63, 69, 71, 37, 31, 29, 27, 105, 107

Offset: 0

Author

Rémy Sigrist, Jan 11 2019

Keywords

• nonn
• tabl

Comments

Each natural numbers appears once in the sequence.

Examples

			Array T(n, k) begins:
  n\k|   0   1   2   3   4   5   6   7   8
  ---+------------------------------------
  0  |   1   6---7  16--17--18--19  24--25
     |   |   |   |   |           |   |   |
  1  |   2   5   8  15--14--13  20  23  26
     |   |   |   |           |   |   |   |
  2  |   3---4   9--10--11--12  21--22  27
     |                                   |
  3  |  48--47--46--45  40--39  30--29--28
     |   |           |   |   |   |
  4  |  49--50--51  44  41  38  31--32--33
     |           |   |   |   |           |
  5  |  54--53--52  43--42  37--36--35--34
     |   |
  6  |  55  60--61  70--71--72--73  78--79
     |   |   |   |   |           |   |   |
  7  |  56  59  62  69--68--67  74  77  80
     |   |   |   |           |   |   |   |
  8  |  57--58  63--64--65--66  75--76  81
		

Links

• Robert Dickau, Wunderlich Curves
• Wolfram Demonstrations Project, Wunderlich Curves
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

See A163334 for a similar sequence.

Cf. A323258, A323259.

Formula

T(A323259(n), A323258(n)) = n.