Happy New Eban!

[Marc LeBrun]

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.)