A055944 -id:A055944 - cp's OEIS frontend

A330340 a(n) is the least k such that A092213(n) = k + reverse(k) (where reverse(k) is the binary reverse of k, A030101(k)).

0, 1, 2, 4, 3, 6, 5, 7, 10, 16, 9, 14, 11, 20, 18, 15, 32, 17, 22, 26, 21, 19, 30, 34, 23, 27, 44, 31, 38, 64, 33, 50, 46, 37, 54, 35, 68, 45, 62, 39, 66, 76, 51, 84, 47, 55, 74, 70, 92, 63, 128, 65, 98, 78, 86, 73, 106, 69, 102, 94, 67, 132, 77, 110, 85, 118

Offset: 0

Rémy Sigrist, Jan 21 2020

			For n = 3:
- A092213(3) = 5,
- 4 is the least k such that k + reverse(k) = 5,
- so a(3) = 4.

Rémy Sigrist, Table of n, a(n) for n = 0..7528
Rémy Sigrist, PARI program for A330340

Cf. A030101, A055944, A092213, A331585.

PARI
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See Links section.
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a(n) + A030101(a(n)) = A092213(n).

a(n) <= A331585(n).

A331585 a(n) is the greatest k such that A092213(n) = k + reverse(k) (where reverse(k) is the binary reverse of k, A030101(k)).

Original entry on oeis.org

0, 1, 2, 4, 3, 8, 5, 7, 12, 16, 9, 14, 13, 20, 24, 15, 32, 17, 28, 26, 21, 25, 40, 48, 29, 27, 44, 31, 56, 64, 33, 50, 60, 41, 72, 49, 80, 45, 62, 57, 96, 88, 51, 84, 61, 59, 104, 112, 92, 63, 128, 65, 98, 120, 116, 73, 106, 81, 144, 124, 97, 160, 89, 122, 85

Offset: 0

Rémy Sigrist, Jan 21 2020

			For n = 5:
- A092213(5) = 9,
- 8 is the greatest k such that k + reverse(k) = 9,
- so a(5) = 8.

Rémy Sigrist, Table of n, a(n) for n = 0..7528
Rémy Sigrist, PARI program for A331585

Cf. A030101, A055944, A092213, A330340.

PARI
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See Links section.
```

a(n) + A030101(a(n)) = A092213(n).

a(n) >= A330340(n).

cp's OEIS Frontend

A330340 a(n) is the least k such that A092213(n) = k + reverse(k) (where reverse(k) is the binary reverse of k, A030101(k)).

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