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A334148 a(n) is the first term to repeat when following the same rules as Recamán's sequence A005132 but starting at n instead of 0.

%I A334148 #14 May 02 2020 15:55:29
%S A334148 42,20,33,3,4,5,28,6,7,8,16,15,9,10,11,19,24,21,12,13,14,15,19,23,26,
%T A334148 15,16,17,27,21,42,44,49,18,19,20,30,36,27,48,34,59,21,22,23,21,25,29,
%U A334148 33,36,40,45,24,25,26,23,27,31,55,79,42,46,49,27,28,29,25,29
%N A334148 a(n) is the first term to repeat when following the same rules as Recamán's sequence A005132 but starting at n instead of 0.
%C A334148 The terms of this sequence grow slowly as n increases and are confined to bands of certain values, see the link image. Between n = 998000 and n = 1000000 the smallest term is 2829 and the largest is 19331.
%C A334148 The number of terms in each sequence starting from n required to reach a(n) is given in A334219.
%C A334148 The values where a(n) = n are given in A334225.
%C A334148 The number of terms in each sequence starting from n required to reach a value greater than n given in A334149.
%H A334148 Scott R. Shannon, <a href="/A334148/b334148.txt">Table of n, a(n) for n = 0..10000</a>
%H A334148 Scott R. Shannon, <a href="/A334148/a334148.png">Plot of the terms for n = 0 to 1000000</a>.
%H A334148 <a href="/index/Rea#Recaman">Index entries for sequences related to Recamán's sequence</a>
%e A334148 a(0) = 42 as a(0) corresponds to the standard Recamán's sequence A005132 in which 42 is the first term to repeat, appearing at A005132(20) and then again at A005132(24).
%e A334148 a(3) = 3 as starting from 3 the sequence of visited numbers is 3,2,0,3 and 3 is the first term to repeat.
%e A334148 a(6) = 28 as starting from 6 the sequence of visited numbers is 6,5,3,0,4,9,15,8,16,7,17,28,40,27,13,28 and 28 is the first number to repeat.
%Y A334148 Cf. A005132, A334149, A334219, A334225.
%K A334148 nonn
%O A334148 0,1
%A A334148 _Scott R. Shannon_, Apr 16 2020