The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A293230 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A293230

a(n) is the number of integers k in range [2^n, (2^(n+1))-1] such that all terms in finite sequence [k, floor(k/2), floor(k/4), floor(k/8), ..., 1] are squarefree.
(history; published version)

#56 by Michael De Vlieger at Mon Sep 18 18:42:36 EDT 2023

STATUS

reviewed

approved

#55 by Stefano Spezia at Mon Sep 18 15:42:58 EDT 2023

STATUS

proposed

reviewed

#54 by Michel Marcus at Mon Sep 18 12:53:46 EDT 2023

STATUS

editing

proposed

#53 by Michel Marcus at Mon Sep 18 12:53:39 EDT 2023

FORMULA

a(n) = Sum_{k=(2^n)..(2^(1+n))-1)} abs(A293233(k)).

It seems that lim _{n ->infinity oo} A293441(n+1)/a(n) ~= 0.770... (if it exists) and similarly lim _{n ->infinity oo} a(n+1)/a(n) ~= 1.34...

STATUS

proposed

editing

Discussion

Mon Sep 18

12:53

Michel Marcus: ok ?

#52 by Winston de Greef at Mon Sep 18 12:46:27 EDT 2023

STATUS

editing

proposed

#51 by Winston de Greef at Mon Sep 18 12:46:12 EDT 2023

FORMULA

a(n) = Sum_{k=(2^n)..(2^(1+n))-1)] } abs(A293233(k)).

STATUS

approved

editing

Discussion

Mon Sep 18

12:46

Winston de Greef: Fixed typo

#50 by R. J. Mathar at Thu Oct 26 06:00:42 EDT 2017

STATUS

editing

approved

#49 by R. J. Mathar at Thu Oct 26 06:00:37 EDT 2017

KEYWORD

nonn,more,new

STATUS

approved

editing

#48 by N. J. A. Sloane at Wed Oct 18 20:36:26 EDT 2017

STATUS

proposed

approved

#47 by Antti Karttunen at Tue Oct 17 15:33:34 EDT 2017

STATUS

editing

proposed