request for help in clarifying definition of sequence

N. J. A. Sloane njas at research.att.com
Sat Sep 16 16:24:42 CEST 2006


Dear Seqfans,

At present there is this entry:

%I A120401
%S A120401 0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,
%T A120401 31,33,34,35,36,38,39,41,42,44,45,46,47,50,51,53,54,55,57,58,61,62,63,
%U A120401 64,66,68
%N A120401 Consider the zeros of the Riemann zeta function. Sequence gives the decimal part values which are nonzero.
%D A120401 http://www.dtc.umn.edu/~odlyzko/zeta_tables/zeros1
%e A120401 The first zero is 14.13472.. so 0,1,2,3,4,5,6,7,8,9,10,11,12,13 are part of the sequence
%e A120401 The second zero is 21.02203.. so 15,16,17,18,19,20 are in the sequence too
%e A120401 The third zero is 25.0108.. so 22,23,24, etc.
%K A120401 fini,nonn,uned,obsc
%O A120401 0,3
%A A120401 Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Jul 02 2006

I asked the author for more information.

Dear Jorge,
could you give a better definition of this sequence?
I find it very confusing.

and you might explain how it related to A002410!

best

Neil

----


He said:

ok  A002410  it the nearest integer to the imaginary part.
  
  but imagine that there is a sequence that the integer part
  is the integer part of the imaginary part of zeta. (not the nearet one)
  I mean like (ceil function).
  
  now A120401 is suppose to be the inverse of that function
  so the numbers are fini. because when zero imaginary parts
  become bigger they become all integer. so there must exist
  a minimum number of integer numbers that are not associated
  with any zero....  maybe I can finish the sequence by myself,
  but I think it's big...  maybe a few hundred numbers. but it's fini.
  because the zeta zeros become close
  


---

I am still confused.  Could someone help and edit this sequence?

Thanks

Neil







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