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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.
5
3, 6, 7, 9, 11, 18, 19, 21, 33, 34, 36, 39, 66, 67, 69, 71, 73, 75, 101, 102, 104, 106, 108, 113, 114, 115, 117, 121, 123, 125, 127, 133, 134, 172, 173, 175, 177, 179, 181, 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
OFFSET
1,1
COMMENTS
Positions k of addition steps in Recamán's sequence where A005132(k-1)-k = A005132(m) for some 0 <= m < k.
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.)
EXAMPLE
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 03 2020
STATUS
approved