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A333552 List of numbers k defined by property that when the Recamán term A005132(k) is being computed, we are unable to subtract k from A005132(k-1) because, although A003132(k-1) >= k, the result of the subtraction, A005132(k-1)-k, is already in A005132.

%I A333552 #21 Jan 09 2021 21:04:20
%S A333552 3,6,7,9,11,18,19,21,33,34,36,39,66,67,69,71,73,75,101,102,104,106,
%T A333552 108,113,114,115,117,121,123,125,127,133,134,172,173,175,177,179,181,
%U A333552 183,186,188,189,190,194,224,225,227,229,231,233,236,238,240,242,244,246,248,287,288,290,292,294,296,298,300,302,304
%N A333552 List of numbers k defined by property that when the Recamán term A005132(k) is being computed, we are unable to subtract k from A005132(k-1) because, although A003132(k-1) >= k, the result of the subtraction, A005132(k-1)-k, is already in A005132.
%C A333552 Positions k of addition steps in Recamán's sequence where A005132(k-1)-k = A005132(m) for some 0 <= m < k.
%C A333552 This is A187922 together with the terms in A333548.  (The difference between A187922 and the present sequence is explained by the fact that originally A005132 began at 1 rather than 0.)
%H A333552 N. J. A. Sloane, <a href="/A333552/b333552.txt">Table of n, a(n) for n = 1..22288</a>
%H A333552 <a href="/index/Rea#Recaman">Index entries for sequences related to Recamán's sequence</a>
%e A333552 After we have found A005132(6)=13, we attempt to subtract 7 from 13 to get a(7). However, this would give 6, which is a collision, since we already have A005132(3)=6. So 7 gets added to the current sequence.
%Y A333552 Cf. A005132, A187921, A187922, A333548, A333549, A334494.
%K A333552 nonn
%O A333552 1,1
%A A333552 _N. J. A. Sloane_, May 03 2020