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A333553
a(n) = A333552(A333551(n)): indices of terms in Recamán's sequence A005132 where the construction avoided a record-sized collision.
1
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
1,1
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. 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)).
PROG
(C++) See Links section.
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 03 2020, following a suggestion from Paul Zimmermann.
STATUS
approved