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A335280 Lexicographically earliest sequence of distinct positive terms whose Recamán transform has only distinct values. 2
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 24, 25, 27, 28, 29, 30, 32, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The Recamán transform of a sequence {b(n), n>0} is the sequence {r(n), n>=0} defined as follows: r(0) = 0; for n > 0, r(n) = r(n-1) - b(n) if nonnegative and not already in the sequence, otherwise r(n) = r(n-1) + b(n).
The Recamán transform of this sequence corresponds to A118201.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 1..10000
Rémy Sigrist, Pinplot of (n, a(n)-n) for n = 1..100000
Rémy Sigrist, PARI program for A335280
Index entries for sequences related to Recamán's sequence
FORMULA
a(n) = abs(A118201(n)-A118201(n-1)).
PROG
(PARI) See Links section.
CROSSREFS
Cf. A005132, A118201.
Sequence in context: A354808 A048242 A272076 * A335282 A370133 A351576
Adjacent sequences: A335277 A335278 A335279 * A335281 A335282 A335283
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 30 2020
STATUS
approved

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Last modified August 29 00:59 EDT 2024. Contains 375508 sequences. (Running on oeis4.)