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Fixed points of A372341.
2

%I #15 Jul 19 2024 22:34:04

%S 1,2,5,8,12,18,24,32,40,49,60,71,83,97,111,127,143,160,179,198,219,

%T 240,262,286,310,335,362,389,418,447,477,509,541,574,609,644,681,718,

%U 756,796,836,878,920,963,1008,1053,1099,1147,1195,1245,1295,1346,1399,1452

%N Fixed points of A372341.

%H Rémy Sigrist, <a href="/A372231/a372231.txt">C++ program</a>

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

%F 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

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

%o (C++) // See Links section.

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

%K nonn

%O 1,2

%A _Rémy Sigrist_, Apr 28 2024