cp's OEIS Frontend

A340059 Limiting sequence when we start with positive integers and at step n >= 1, a(n) >= 1, subtract from the term at position n + a(n) the value A000005(a(n)). If no value a(n) at position n, take a(n) = n - A000005(n).

%I A340059 #16 Dec 28 2020 17:34:56
%S A340059 1,1,2,1,2,2,5,6,6,6,9,10,11,10,11,12,15,12,17,17,17,18,21,18,22,24,
%T A340059 23,22,27,24,29,28,29,30,31,34,35,36,35,32,39,36,41,40,39,42,43,38,46,
%U A340059 36,47,46,51,46,51,52,53,54,57,58,59,60,57
%N A340059 Limiting sequence when we start with positive integers and at step n >= 1, a(n) >= 1, subtract from the term at position n + a(n) the value A000005(a(n)). If no value a(n) at position n, take a(n) = n - A000005(n).
%C A340059 At the vast majority of positions the term is changed at most once. The first position where the term is changed two times is 5.
%C A340059 The first position where the term is changed three times is 50. For n >= 4, a(n) < (n-2).
%e A340059 n = 1, a(1) = 1, at position 1 + 1 = 2, a(2) = 2 - A000005(1) = 1;
%e A340059 n = 2, a(2) = 1, at position 2 + 1 = 3, a(3) = 3 - A000005(1) = 2;
%e A340059 n = 3, a(3) = 2, at position 3 + 2 = 5, a(5) = 5 - A000005(2) = 3;
%e A340059 n = 4, a(4) = 1, at position 4 + 1 = 5, a(5) = 3 - A000005(1) = 2;
%e A340059 n = 5, a(5) = 2, at position 5 + 2 = 7, a(7) = 7 - A000005(2) = 5;
%e A340059 n = 6, a(6) = 2, at position 6 + 2 = 8, a(8) = 8 - A000005(2) = 6;
%e A340059 n = 7, a(7) = 5, at position 7 + 5 = 12, a(12) = 12 - A000005(5) = 10;
%e A340059 n = 8, a(8) = 6, at position 8 + 6 = 14, a(14) = 14 - A000005(6) = 10;
%e A340059 n = 9, a(9) = 6, at position 9 + 6 = 15, a(15) = 15 - A000005(6) = 11;
%e A340059 n = 10, a(10) = 6, at position 10 + 6 = 16, a(16) = 16 - A000005(6) = 12;
%e A340059 and so on.
%Y A340059 Cf. A000005, A049820, A137417.
%K A340059 nonn
%O A340059 1,3
%A A340059 _Ctibor O. Zizka_, Dec 27 2020