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.

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.)

Links

N. J. A. Sloane, Table of n, a(n) for n = 1..22288

Index entries for sequences related to Recamán's sequence

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

Cf. A005132, A187921, A187922, A333548, A333549, A334494.

Sequence in context: A228014 A188971 A176065 * A324929 A135412 A244990

Adjacent sequences: A333549 A333550 A333551 * A333553 A333554 A333555

Keyword

nonn

Author

N. J. A. Sloane, May 03 2020

Status

approved