A365230 -id:A365230 - cp's OEIS frontend

A365231 Inverse permutation to A365230.

1, 2, 4, 3, 7, 5, 11, 8, 6, 10, 16, 9, 22, 12, 13, 17, 29, 18, 37, 14, 15, 21, 46, 23, 19, 28, 24, 20, 56, 25, 67, 30, 27, 36, 26, 31, 79, 38, 35, 32, 92, 33, 106, 34, 39, 47, 121, 48, 41, 40, 44, 43, 137, 57, 42, 50, 45, 66, 154, 49, 172, 68, 58, 80, 52, 51

Offset: 1

Rémy Sigrist, Aug 27 2023

nonn

			A365230(42) = 55, hence a(55) = 42.

Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A365230.

PARI
```
See Links section.
```

A365232 Triangle T(n, k), n >= 0, k = 0..n-1, read by rows and filled the greedy way with distinct nonnegative integers such that the powers of 2 in the binary expansion of T(k, 0) also appear in that of T(n, k).

Original entry on oeis.org

0, 1, 3, 2, 5, 6, 4, 7, 10, 12, 8, 9, 11, 13, 14, 15, 17, 18, 20, 24, 31, 16, 19, 22, 21, 25, 47, 23, 26, 27, 30, 28, 29, 63, 48, 58, 32, 33, 34, 36, 40, 79, 49, 59, 35, 37, 39, 38, 44, 41, 95, 50, 62, 42, 45, 43, 51, 46, 52, 56, 111, 53, 90, 54, 55, 107

Offset: 0

Rémy Sigrist, Aug 27 2023

As a flat sequence, this is a permutation of the nonnegative integers (as each row starts with the least value not yet in the sequence); see A365233 for the inverse.

			Triangle T(n, k) begins:
          0;
          1,  3;
          2,  5,  6;
          4,  7, 10, 12;
          8,  9, 11, 13, 14;
         15, 17, 18, 20, 24, 31;
         16, 19, 22, 21, 25, 47, 23;
         26, 27, 30, 28, 29, 63, 48, 58;
         32, 33, 34, 36, 40, 79, 49, 59, 35;
         37, 39, 38, 44, 41, 95, 50, 62, 42, 45;
         .......................................
T(k, 0)   0   1   2   4   8  15  16  26  32  37

Rémy Sigrist, Table of n, a(n) for n = 0..10010 (rows for n = 0..140 flattened)
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

See A365230 for a similar sequence.

Cf. A365233 (inverse).

PARI
```
See Links section.
```

cp's OEIS Frontend

A365231 Inverse permutation to A365230.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

PARI