A372231 Fixed points of A372341.

1, 2, 5, 8, 12, 18, 24, 32, 40, 49, 60, 71, 83, 97, 111, 127, 143, 160, 179, 198, 219, 240, 262, 286, 310, 335, 362, 389, 418, 447, 477, 509, 541, 574, 609, 644, 681, 718, 756, 796, 836, 878, 920, 963, 1008, 1053, 1099, 1147, 1195, 1245, 1295, 1346, 1399, 1452

Offset

1,2

Links

Table of n, a(n) for n=1..54.

Rémy Sigrist, C++ program

Formula

a(n) = A000217(n) - A005206(n-1).

A194832(a(n)) = 1. Also the first row A194833(1, n) = a(n). This can be seen in the EXAMPLE section of A372341. Each row is horizontally shifted by a value from A005206. The shift is known to be floor((k+1)*tau)-k-1, where tau is the golden ratio. The position of "1" in a permutation from A194832 is determined by a similar process based on the same constant. - Thomas Scheuerle, Jul 08 2024

Example

A372341(49) = 49, so 49 belongs to this sequence.

Prog

(C++) // See Links section.

Crossrefs

Cf. A000217, A005206, A194832, A194833, A372341.

Sequence in context: A183861 A024534 A011974 * A049633 A066614 A305440

Adjacent sequences: A372228 A372229 A372230 * A372232 A372233 A372234

Keyword

nonn

Author

Rémy Sigrist, Apr 28 2024

Status

approved