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A006933 `Eban' numbers (the letter `e' is banned!).
(Formerly M1030)
8
2, 4, 6, 30, 32, 34, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62, 64, 66, 2000, 2002, 2004, 2006, 2030, 2032, 2034, 2036, 2040, 2042, 2044, 2046, 2050, 2052, 2054, 2056, 2060, 2062, 2064, 2066, 4000, 4002, 4004, 4006, 4030, 4032, 4034, 4036, 4040, 4042, 4044, 4046, 4050, 4052, 4054, 4056 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Invented by N. J. A. Sloane (njas(AT)research.att.com) circa 1990.

Theorem (N. J. A. Sloane): In English every odd number contains an `e'.

REFERENCES

J. C. Hernandez et al., "Characterization of Eban numbers", pp. 197-200, Journal of Recreational Mathematics, 31 (3) 2002-2003.

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

Georges Perec, Les Revenentes [a novel in which the only vowel that appears is `e']. - From Simon Plouffe, Mar 12 2010

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Author?, What comes next? in Science News for Kids.

Eric Weisstein's World of Mathematics, Eban Number

PROG

(MAGMA) [ n : n in [1..100] | forall{ i : i in [1..#seq] | seq[i] in eban[(i-1)mod 3+1]} where seq is Intseq(n) ] where eban is [[0, 2, 4, 6], [0, 3, 4, 5, 6], [0]]; - from Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

CROSSREFS

Cf. A082504.

Sequence in context: A106274 A204661 A077633 * A046847 A121069 A100838

Adjacent sequences:  A006930 A006931 A006932 * A006934 A006935 A006936

KEYWORD

word,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.