The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A356075

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A356075

a(n) = floor(m), where li(m) = n and li is the logarithmic integral. We consider only real and positive m.
(history; published version)

#26 by Joerg Arndt at Sat Oct 08 10:12:48 EDT 2022

STATUS

proposed

approved

#25 by Jon E. Schoenfield at Fri Oct 07 22:03:35 EDT 2022

STATUS

editing

proposed

#24 by Jon E. Schoenfield at Fri Oct 07 22:03:33 EDT 2022

COMMENTS

We use for li(x) and x > 1 the Cauchy principal value of Integral_{0->..x}( dt/log(t)). This is stated to prevent confusion with Li(x), which is often defined so that Li(x) = li(x) - li(2).

STATUS

proposed

editing

#23 by Thomas Scheuerle at Wed Oct 05 07:49:27 EDT 2022

STATUS

editing

proposed

#22 by Thomas Scheuerle at Wed Oct 05 07:47:46 EDT 2022

COMMENTS

A conjectured relation discovered with help from http://sequencedb.net:

a(n) ~ A046155( Sum_{k=1..n} A340745(a(k-1)+1) ), with a(0) = 2. - Thomas Scheuerle, Oct 05 2022

CROSSREFS

Cf. A046155, A340745.

STATUS

proposed

editing

Discussion

Wed Oct 05

07:49

Thomas Scheuerle: Sorry, I decided otherwise, its still to vague. Also to obscure I think.

#21 by Thomas Scheuerle at Wed Oct 05 07:38:56 EDT 2022

STATUS

editing

proposed

Discussion

Wed Oct 05

07:42

Thomas Scheuerle: It starts with equality, may later slightly diverge, but I expect this to be close to a valid formula. (Floor and rounding may spoil it ...)

#20 by Thomas Scheuerle at Wed Oct 05 07:37:54 EDT 2022

COMMENTS

a(n) ~ A046155( Sum_{k=1..n} A340745(a(k-1)+1) ), with a(0) = 2. - Thomas Scheuerle, Oct 05 2022

#19 by Thomas Scheuerle at Wed Oct 05 07:37:01 EDT 2022

COMMENTS

a(n) ~ A046155( Sum_{k=1..n} A340745(a(k-1)+1) ). - Thomas Scheuerle, Oct 05 2022

#18 by Thomas Scheuerle at Wed Oct 05 07:36:44 EDT 2022

COMMENTS

a(n) ~ A046155( Sum_{k=1..n} A340745(a(k-1)+1) ). - Thomas Scheuerle, Oct 05 2022

#17 by Thomas Scheuerle at Wed Oct 05 07:35:55 EDT 2022

COMMENTS

A conjectured relation discovered with help from http://sequencedb.net:

a(n) ~ A046155( Sum_{k=1..n} A340745(a(k-1)+1) ). - Thomas Scheuerle, Oct 05 2022

CROSSREFS

Cf. A046155, A340745.

STATUS

approved

editing