Happy New Eban!

zak seidov zakseidov at yahoo.com
Tue Dec 27 06:57:16 CET 2005


What about 2006-th terms 
in some (core?) important/interesting SEQs?

E.g., I found this one:

A000027(2006) = 2006 (?!)

Happy New 2006th to all US!
zak



--- Alexandre Wajnberg <alexandre.wajnberg at skynet.be>
wrote:

> 
> 
> May we also add Seq A002006?
> 
> ID Number: A002006 (Formerly M2137 and N0849)
> URL:      
>
http://www.research.att.com/projects/OEIS?Anum=A002006
> Sequence: 
> 2,24,272,3424,46720,676608,10251520,160900608
> Name:      Almost trivalent maps.
> Offset:    0
> Author(s): njas
> 
> 
> 
> > De : Marc LeBrun <mlb at fxpt.com>
> > Date : Mon, 26 Dec 2005 13:16:07 -0800
> > À : Sequence Fanatics <seqfan at ext.jussieu.fr>,
> Math Fun
> > <math-fun at mailman.xmission.com>
> > Objet : Happy New Eban!
> > 
> > Here's a traditional holiday sampling of factoids
> about 2006 gleaned from
> > the On-Line Encyclopedia of Integer Sequences:
> > 
> > Among other things, 2006 is the...
> > 
> > A022664  coefficient of x^14 in Product
> (1-n*x^n)^4.
> > 
> > A030015  9th element in the binomial transform of
> > 1,2,3,5,7,11,13,17,19,23,....
> > 
> > A035939  number of partitions of 38 into parts not
> of the form 7k, 7k+3 or
> > 7k-3.
> >           (Also number of partitions with at most
> 2 parts of size 1 and
> > differences
> >           between parts at distance 2 are greater
> than 1.)
> > 
> > A066967  total of the odd parts in all partitions
> of 16.
> > 
> > A078392  sum of the GCDs of each partition of 25.
> > 
> > A080149  number for which both 2006^2+1 and
> 2006^2+3 are prime.
> >           (Hardy and Littlewood conjectured that
> the set of such twin
> > primes is infinite.)
> > 
> > A085945  number of subsets of
> {1,2,3,4,5,6,7,8,9,10,11} with relatively
> > prime elements.
> > 
> > A102628  number of partitions of 27 whose number
> of parts is relatively
> > prime to 27.
> > 
> > A006933  the 23rd "eban" number (names in English
> containing the letter "e"
> > are banned).
> >           (The next "eban year" won't be until
> 2030.)
> > 
> > 
> > 
> 
> 
> 
> 



		
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