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

0,2

Comments

Each natural numbers appears once in the sequence.

Links

Table of n, a(n) for n=0..65.

Robert Dickau, Wunderlich Curves

Wolfram Demonstrations Project, Wunderlich Curves

Index entries for sequences that are permutations of the natural numbers

Formula

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

Example

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

Crossrefs

See A163334 for a similar sequence.

Cf. A323258, A323259.

Sequence in context: A093650 A064433 A163338 * A338444 A139384 A083481

Adjacent sequences: A323332 A323333 A323334 * A323336 A323337 A323338

Keyword

nonn,tabl

Author

Rémy Sigrist, Jan 11 2019

Status

approved