A378784 a(1)=1, a(2)=2, then the terms from a(2^k + 1) to a(2^(k+1)) are the first 2^k terms in reverse order, increased by a(2^k).

1, 2, 4, 3, 6, 7, 5, 4, 8, 9, 11, 10, 7, 8, 6, 5, 10, 11, 13, 12, 15, 16, 14, 13, 9, 10, 12, 11, 8, 9, 7, 6, 12, 13, 15, 14, 17, 18, 16, 15, 19, 20, 22, 21, 18, 19, 17, 16, 11, 12, 14, 13, 16, 17, 15, 14, 10, 11, 13, 12, 9, 10, 8, 7, 14, 15, 17, 16, 19, 20, 18, 17, 21, 22, 24

Offset

1,2

Links

Ivan Neretin, Table of n, a(n) for n = 1..8192

Example

The first four terms are 1, 2, 4, 3. Hence the next four terms are (1+3, 2+3, 4+3, 3+3) taken in reverse order, that is: 6, 7, 5, 4.

Mathematica

Nest[Join[#, Reverse[#] + #[[-1]]] &, {1, 2}, 6]

Crossrefs

Cf. A378785 (Fibonacci-based analog).

Sequence in context: A194277 A226246 A216623 * A297551 A297673 A083050

Adjacent sequences: A378781 A378782 A378783 * A378785 A378786 A378787

Keyword

nonn

Author

Ivan Neretin, Dec 07 2024

Status

approved