The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A278452 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A278452

a(n) = nearest integer to b(n) = c^(b(n-1)/(n-1)), where c = e = 2.71828... and b(1) is chosen such that the sequence neither explodes nor goes to 1.
(history; published version)

#21 by N. J. A. Sloane at Sat Dec 03 13:10:13 EST 2016

STATUS

proposed

approved

#20 by Jon E. Schoenfield at Thu Dec 01 23:40:19 EST 2016

STATUS

editing

proposed

#19 by Jon E. Schoenfield at Thu Dec 01 23:40:02 EST 2016

COMMENTS

b(n) = n*lnlog((n+1)*lnlog((n+2)*lnlog(...))) ~ n*lnlog(n). - Andrey Zabolotskiy, Dec 01 2016

STATUS

proposed

editing

Discussion

Thu Dec 01

23:40

Jon E. Schoenfield: Changed "ln" to "log" (per the OEIS Style Sheet)

#18 by Rok Cestnik at Thu Dec 01 20:13:45 EST 2016

STATUS

editing

proposed

#17 by Andrey Zabolotskiy at Thu Dec 01 10:55:34 EST 2016

COMMENTS

b(n) = n*ln((n+1)*ln((n+2)*ln(...))) ~ n*ln(n). - Andrey Zabolotskiy, Dec 01 2016

STATUS

approved

editing

#16 by Wesley Ivan Hurt at Thu Dec 01 10:43:35 EST 2016

STATUS

proposed

approved

#15 by Rok Cestnik at Thu Dec 01 10:37:45 EST 2016

STATUS

editing

proposed

#14 by Rok Cestnik at Thu Dec 01 10:33:56 EST 2016

CROSSREFS

For decimal expansion of b(1) see A278812.

Cf. For different values of c see A278448, A278449, A278450, A278451, A278453.

For b(1)=0 see A278453.

STATUS

proposed

editing

#13 by Rok Cestnik at Thu Dec 01 10:04:08 EST 2016

STATUS

editing

proposed

#12 by Rok Cestnik at Thu Dec 01 10:04:01 EST 2016

COMMENTS

In this case b(1) = 1.3679012617... A278812. If b(1) were chosen smaller the sequence would approach 1, if it were chosen greater the sequence would at some point violate b(n-1)b(n+1)/b(n)^2 < 1 and from there on quickly escalate.

STATUS

approved

editing