A135137: missed terms(?)

Maximilian Hasler maximilian.hasler at gmail.com
Fri Feb 15 13:36:41 CET 2008

While "base" sequences still have a (somehow) mathematical
significance, I think sequences that refer to English words, American
bank notes, and similar really are more than questionable.
We already saw the ill-definedness of several of those, since spelling
varies from one E-speaking country/region to the other, and with the
years even for a given country/region.
For bank notes it is the same. How to keep track of which sequences
become completely wrong, when the government decides the 1-dollar
notes become obsolete, or that higher values bank note is introduced,
in view of inflation or devaluation of the dollar?
Already here, obviously not all of the existing ones are "bank notes in
common circulation".
This is really not scientific at all (in my opinion).


On Fri, Feb 15, 2008 at 5:28 AM, zak seidov <zakseidov at yahoo.com> wrote:
> Re: %S A135137
>  3,7,11,12,15,16,20,21,22,25,26,30,31,35,40,41,45,50,52,56,60,61,65,70,71,75,80,90,101,102,105,106,110,111,115,120,121,125,130,140,150,151,155,160,170,200,201,205,210,220,250,300
>  I think that these are missed
>  (and many more?):
>  4,5,6,8,9,13,14,17,...
>  e.g., 17=2+5+10, etc.
>  or i'm terribly erred:
>  are 1, 2, 5, 10, 20, 50, 100 USD's used in A135137?
>       ____________________________________________________________________________________
>  Looking for last minute shopping deals?
>  Find them fast with Yahoo! Search.  http://tools.search.yahoo.com/newsearch/category.php?category=shopping

Zak,  you said:

Smth's wrong with wording:

%C A135132 695 is only a probable prime, 
%C A135131 835 and 886 only probable primes, 
%C A135118 658 is only a probable prime,....,

etc., see Julien Peter Benney's in recent.txt

Zak said:

Smth's wrong with wording:

%C A135132 695 is only a probable prime, 
%C A135131 835 and 886 only probable primes, 
%C A135118 658 is only a probable prime,....,

perfectly clear what is meant.

These are examples of one word representing another.

Like a sign "No Trucks" in a parking lot.
You know what is meant.

Or like the written version of a Hebrew word
- the vowels are missing, but the meaning is clear.


I cannot let Maximilian's remarks go unchallenged!

In one of the classic books on mathematics,
in Volume 1, page 1, one finds problems like this:

%I A001299
%S A001299 1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,6,6,6,6,6,9,9,9,9,9,13,13,
%T A001299 13,13,13,18,18,18,18,18,24,24,24,24,24,31,31,31,31,31,
%U A001299 39,39,39,39,39,49,49,49,49,49,60,60,60,60,60,73,73,73
%N A001299 Number of ways of making change for n cents using coins of 1, 5, 10, 25 cents.
%D A001299 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Re\
ading, MA, 1990, p. 316.
%D A001299 G. P\'{o}lya and G. Szeg\"{o}, Problems and Theorems in Analysis, Springer-Verlag, N\
Y, 2 vols., 1972, Vol. 1, p. 1.
%H A001299 INRIA Algorithms Project, <a href="http://algo.inria.fr/bin/encyclopedia?Search=ECSn\
b&argsearch=175">Encyclopedia of Combinatorial Structures 175</a>
%H A001299 <a href="http://www.research.att.com/~njas/sequences/Sindx_Mag.html#change">Index en\
tries for sequences related to making change.</a>
%p A001299 1/(1-x)/(1-x^5)/(1-x^10)/(1-x^25)

This is definitely of scientific interest, and moreover is
an excellent way to teach generating functions!


More information about the SeqFan mailing list