A330313 Add the odd terms and subtract the even ones, the result must always be a palindrome in base 3. This is the lexicographically earliest sequence of distinct positive integers with this property.

1, 3, 2, 11, 7, 4, 6, 8, 21, 5, 12, 14, 89, 9, 18, 26, 16, 20, 10, 13, 17, 24, 75, 39, 30, 32, 23, 51, 31, 22, 43, 34, 48, 44, 28, 36, 19, 29, 42, 81, 68, 33, 35, 69, 60, 72, 63, 73, 52, 56, 40, 105, 61, 70, 84, 93, 91, 82, 50, 41, 98, 45, 53, 103, 64, 78, 54, 123, 128, 57, 71, 129

Offset: 1

Author

N. J. A. Sloane, Dec 11 2019

Keywords

• nonn
• look
• base

Comments

A base 3 analog of A329544. The latter has an exceptionally irregular graph, so it is natural to ask if the graph is more understandable in a smaller base (and base 2 does not work).

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..50000 (first 1000 terms from N. J. A. Sloane)
• Rémy Sigrist, Density plot of the first 5000000 terms
• Rémy Sigrist, C++ program for A330313
• N. J. A. Sloane, Table of n, a(n), A330314(n), A330314(n)/a(n) for n = 1..1000

Crossrefs

Cf. A014190, A329544, A330312, A330314 (running totals).