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

0,3

Links

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

Rémy Sigrist, PARI program for A330340

Formula

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

a(n) <= A331585(n).

Example

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A030101, A055944, A092213, A331585.

Sequence in context: A255551 A366949 A332072 * A328696 A053629 A227370

Adjacent sequences: A330337 A330338 A330339 * A330341 A330342 A330343

Keyword

nonn,base

Author

Rémy Sigrist, Jan 21 2020

Status

approved