The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A360613 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A360613

Lexicographically earliest sequence of positive integers such that the products of the form a(2*u-1) * a(2*v) with u, v > 0 are all distinct.
(history; published version)

#19 by Peter Luschny at Sat Feb 25 15:20:01 EST 2023

STATUS

reviewed

approved

#18 by Michel Marcus at Sat Feb 25 13:32:12 EST 2023

STATUS

proposed

reviewed

#17 by Rémy Sigrist at Sat Feb 25 13:09:23 EST 2023

STATUS

editing

proposed

#16 by Rémy Sigrist at Sat Feb 25 12:59:15 EST 2023

COMMENTS

If we consider sums the bitwise XOR operator instead of products the multiplication then we obtain A000695 interleaved with A062880.

Discussion

Sat Feb 25

13:09

Rémy Sigrist: corrected the second comment

#15 by Rémy Sigrist at Sat Feb 25 12:57:49 EST 2023

STATUS

proposed

editing

#14 by Rémy Sigrist at Sat Feb 25 12:25:50 EST 2023

STATUS

editing

proposed

#13 by Rémy Sigrist at Sat Feb 25 11:13:20 EST 2023

LINKS

Rémy Sigrist, <a href="/A360613/b360613.txt">Table of n, a(n) for n = 1..10000</a>

CROSSREFS

Cf. A000695, A062880, A066724, A360627-A360628 (bisections), A360633 (products).

STATUS

approved

editing

Discussion

Sat Feb 25

12:25

Rémy Sigrist: added b-file

#12 by Michael De Vlieger at Sat Feb 25 08:32:25 EST 2023

STATUS

proposed

approved

#11 by Rémy Sigrist at Sat Feb 25 01:57:12 EST 2023

STATUS

editing

proposed

#10 by Rémy Sigrist at Sat Feb 18 04:59:08 EST 2023

COMMENTS

For n = 1..20000, 50000, if m_n denotes the least positive value not in {a(2*u-1) * a(2*v), 1 <= 2*u-1 <= n and 1 <= 2*v <= n}, then a(n+1) = m_n or a(n+2) = m_n. Will this pattern last forever?