Happy New Eban!
Alexandre Wajnberg
alexandre.wajnberg at skynet.be
Tue Dec 27 03:27:04 CET 2005
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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