A333553 a(n) = A333552(A333551(n)): indices of terms in Recamán's sequence A005132 where the construction avoided a record-sized collision.

3, 6, 7, 18, 19, 34, 67, 102, 115, 173, 190, 288, 453, 511, 677, 846, 986, 1230, 1305, 1349, 1715, 2066, 2422, 2870, 3870, 4139, 4599, 4649, 5027, 5899, 7676, 8220, 8742, 9558, 11542, 13144, 13511, 15541, 16001, 16281, 16685, 17199, 18279, 19463, 21267, 23375, 23976, 24260, 24381, 24398, 24399, 55506, 68108, 75688

Offset: 1

Author

N. J. A. Sloane, May 03 2020, following a suggestion from Paul Zimmermann

Keywords

• nonn

Examples

			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. Furthermore, 6 is larger than any collision we have so far avoided. So 7 (the index of the term of A005132 that we were constructing), gets added to the current sequence (it is a(3)).
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..365
• Index entries for sequences related to Recamán's sequence
• Rémy Sigrist, C++ program for A333553

Crossrefs

Cf. A005132, A333548, A333549, A333550, A333551, A333552.