A374560 -id:A374560 - cp's OEIS frontend

A374789 Distinct values of A374560, in order of appearance, with offset 0.

0, 1, 3, 2, 4, 9, 5, 6, 10, 7, 12, 11, 8, 13, 27, 14, 15, 18, 28, 16, 19, 30, 29, 17, 21, 20, 31, 22, 36, 32, 33, 23, 24, 37, 34, 25, 39, 38, 35, 26, 40, 81, 41, 42, 45, 54, 82, 43, 46, 55, 84, 83, 44, 48, 47, 57, 56, 85, 49, 58, 90, 86, 87, 50, 51, 63, 59, 60

Offset: 0

Rémy Sigrist, Jul 20 2024

This sequence is a permutation of the nonnegative integers with inverse A374790.

This sequence has infinitely many fixed points (A003462 among others).

			The first terms of A374560 alongside the first terms of this sequence are:
  m   A374560(m)  n  a(n)
  --  ----------  -  ----
   0           0  0     0
   1           1  1     1
   2           1
   3           3  2     3
   4           2  3     2
   5           3
   6           4  4     4
   7           4
   8           4
   9           4
  10           9  5     9
  11           5  6     5
  12           6  7     6

Rémy Sigrist, Table of n, a(n) for n = 0..9841
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A003462, A374560, A374790 (inverse).

PARI
```
\\ See Links section.
```

a(n) <= A003462(k) for any n <= A003462(k).

A374791 Irregular triangle T(n, k), n >= 0, k = 1..A120880(n), read by rows; the n-th lists the integers m such that A374560(m) = n.

Original entry on oeis.org

0, 1, 2, 4, 3, 5, 6, 7, 8, 9, 11, 13, 12, 17, 18, 24, 10, 14, 15, 16, 19, 20, 22, 26, 21, 23, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 43, 38, 42, 47, 48, 51, 52, 58, 62, 40, 49, 50, 60, 59, 61, 70, 71, 72, 73, 83, 85, 84, 97, 98, 112, 36, 44, 45, 46, 53, 54

Offset: 0

Rémy Sigrist, Jul 20 2024

A374560 corresponds to a square array, but we consider it here as a flat sequence (when its values are read according along its antidiagonals).

As a flat sequence, this is a permutation of the nonnegative integers with inverse A374792.

			Triangle T(n, k) begins:
  n   n-th row
  --  ------------------------------
   0  0
   1  1, 2
   2  4
   3  3, 5
   4  6, 7, 8, 9
   5  11, 13
   6  12
   7  17, 18
   8  24
   9  10, 14
  10  15, 16, 19, 20
  11  22, 26
  12  21, 23, 25, 27
  13  28, 29, 30, 31, 32, 33, 34, 35
  14  37, 39, 41, 43
  15  38, 42

Rémy Sigrist, Table of n, a(n) for n = 0..8255
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A120880, A374560, A374792 (inverse).

PARI
```
\\ See Links section.
```

cp's OEIS Frontend

A374789 Distinct values of A374560, in order of appearance, with offset 0.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

PARI

Formula