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)).

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

0,3

Links

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

Rémy Sigrist, PARI program for A331585

Formula

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

a(n) >= A330340(n).

Example

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A030101, A055944, A092213, A330340.

Sequence in context: A342794 A266412 A246365 * A191729 A075378 A101905

Adjacent sequences: A331582 A331583 A331584 * A331586 A331587 A331588

Keyword

nonn,base

Author

Rémy Sigrist, Jan 21 2020

Status

approved