A316323 The square array in A305615 read by antidiagonals.

0, 1, 3, 4, 2, 8, 9, 7, 6, 15, 16, 14, 5, 13, 24, 25, 23, 12, 11, 22, 35, 36, 34, 21, 10, 20, 33, 48, 49, 47, 32, 19, 18, 31, 46, 63, 64, 62, 45, 30, 17, 29, 44, 61, 80, 81, 79, 60, 43, 28, 27, 42, 59, 78, 99, 100, 98, 77, 58, 41, 26, 40, 57, 76, 97, 120, 121, 119, 96, 75, 56, 39, 38, 55, 74, 95, 118, 143

Offset

0,3

Links

Table of n, a(n) for n=0..77.

Formula

If 1 is added to every term we get the array in A269780, which has an explicit formula for the (i,j)-th term.

Example

The array in A305615 begins:
  ^
  |
  4 |... ... ... ... ...
    +---------------+
  3 | 9  14  12  10 |...
    +-----------+   |
  2 | 4   7   5 |11 |...
    +-------+   |   |
  1 | 1   2 | 6 |13 |...
    +---+   |   |   |
  0 | 0 | 3 | 8 |15 |...
    +---+---+---+---+---
      0   1   2   3   4 ...
The first few antidiagonals are:L
0,
1, 3,
4, 2, 8,
9, 7, 6, 15,
16, 14, 5, 13, 24,
25, 23, 12, 11, 22, 35,
36, 34, 21, 10, 20, 33, 48,
...

Crossrefs

Cf. A305615, A269501, A269780.

Sequence in context: A066892 A143053 A220508 * A341054 A120239 A082362

Adjacent sequences: A316320 A316321 A316322 * A316324 A316325 A316326

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jul 03 2018

Status

approved