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

1, 3, 5, 6, 8, 10, 18, 20, 23, 25, 26, 28, 1000000, 1000001, 1000003, 1000005, 1000006, 1000008, 1000010, 1000018, 1000020, 1000023, 1000025, 1000026, 1000028, 3000000, 3000001, 3000003, 3000005, 3000006, 3000008, 3000010

Offset

1,2

Comments

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

Could also be called les nombres "epers". - Benoit Cloitre, May 05 2003

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

References

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.)

Links

Table of n, a(n) for n=1..32.

N. Graner, Liponombres [<<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.>>]

Example

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

Prog

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

Crossrefs

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

Sequence in context: A084810 A364731 A268896 * A131422 A301744 A087720

Adjacent sequences: A014251 A014252 A014253 * A014255 A014256 A014257

Keyword

nonn,word,fini

Author

Olivier Gérard

Extensions

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

Corrected by Don Reble, Nov 19 2006

Edited by M. F. Hasler, Nov 11 2015

Status

approved