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Revision History for A055500

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(0)=1, a(1)=1, a(n) = largest prime <= a(n-1) + a(n-2).
(history; published version)
#50 by Michael De Vlieger at Sun Dec 03 09:12:13 EST 2023
STATUS

reviewed

approved

#49 by Stefano Spezia at Sun Dec 03 02:39:19 EST 2023
STATUS

proposed

reviewed

#48 by Jon E. Schoenfield at Tue Nov 28 09:04:48 EST 2023
STATUS

editing

proposed

Discussion
Sun Dec 03
02:38
Stefano Spezia: Yes
#47 by Jon E. Schoenfield at Tue Nov 28 08:58:09 EST 2023
FORMULA

a(n) is asymptotic to C*phi^n where phi = (1+sqrt(5))/2 and C = 0.2586163790186070096510192257649545667741845009129953131631777132510164822489... - Benoit Cloitre, Apr 21 2003

STATUS

approved

editing

Discussion
Tue Nov 28
09:04
Jon E. Schoenfield: Apparently, this limit was computed with the offset treated as 1 rather than 0 … right?
#46 by Michael De Vlieger at Tue Nov 28 08:39:22 EST 2023
STATUS

reviewed

approved

#45 by Joerg Arndt at Tue Nov 28 08:39:18 EST 2023
STATUS

proposed

reviewed

#44 by Jon E. Schoenfield at Tue Nov 28 08:35:48 EST 2023
STATUS

editing

proposed

#43 by Jon E. Schoenfield at Tue Nov 28 08:34:54 EST 2023
LINKS

Zak Seidov and Michael De Vlieger, <a href="/A055500/b055500.txt">Table of n, a(n) for n = 0..1000</a> (first 100 terms from Zak Seidov)

STATUS

proposed

editing

#42 by Adam Eisner at Tue Nov 28 08:05:37 EST 2023
STATUS

editing

proposed

Discussion
Tue Nov 28
08:33
Jon E. Schoenfield: Thanks!
#41 by Adam Eisner at Tue Nov 28 08:03:36 EST 2023
EXAMPLE

a(98) = 23 because 23 is largest prime <= a(7) + a(6) = 17 + 11 = 28.

STATUS

approved

editing

Discussion
Tue Nov 28
08:05
Adam Eisner: In the example, it began as "a(9)=...".  I corrected it by making it begin with "a(8)=..."
by Adam Eisner