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A014254 Liponombres: numbers whose French name does not contain the letter "e". 6

%I #27 Feb 02 2023 09:41:18

%S 1,3,5,6,8,10,18,20,23,25,26,28,1000000,1000001,1000003,1000005,

%T 1000006,1000008,1000010,1000018,1000020,1000023,1000025,1000026,

%U 1000028,3000000,3000001,3000003,3000005,3000006,3000008,3000010

%N Liponombres: numbers whose French name does not contain the letter "e".

%C In French also called: les nombres "évites" ou "apparés".

%C Could also be called les nombres "epers". - _Benoit Cloitre_, May 05 2003

%C French version of eban numbers (A006933): no "e" in name of number in French - "e" perd ("e" lost)!

%D Georges Perec, La disparition, Editions Gallimard, Paris, 1969; English translation: A Void, Harvill, 1994. (A novel that does not use the letter "e". These numbers are not mentioned, however.)

%H N. Graner, <a href="http://www.graner.net/nicolas/nombres/liponombres.html">Liponombres</a> [<<Un lipogramme est un texte dans lequel l'auteur s'astreint à ne pas utiliser une ou plusieurs lettres de l'alphabet, le plus souvent la lettre E. Par analogie, nous avons choisi d'appeler « liponombre » tout nombre dont le nom ne comporte pas la lettre E. Nous étudions dans cet article quelques propriétés de l'ensemble des liponombres.>>]

%e a(1) = 1 ("un"), a(2) = 3 ("trois", not "dEux")

%o (PARI) is_A014254(n)=!setsearch(Set(Vec(French(n))),"e") \\ See A167507 for French(). - _M. F. Hasler_, Nov 11 2015

%Y Cf. A006933, A050280 (primes); A167507, A139212, A007005, A139121, A233185.

%K nonn,word,fini

%O 1,2

%A _Olivier Gérard_

%E Additional comments from Bruno Salvy (Bruno.Salvy(AT)inria.fr) and Nicolas Graner (Nicolas.Graner(AT)cri.u-psud.fr), May 11 2003

%E Corrected by _Don Reble_, Nov 19 2006

%E Edited by _M. F. Hasler_, Nov 11 2015

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