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A006933 `Eban' numbers (the letter `e' is banned!).
(Formerly M1030)
+0
9
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; listen)
OFFSET

1,1

COMMENT

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.

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

PROGRAM

(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: A141526 A106274 A077633 this_sequence A046847 A121069 A100838

Adjacent sequences: A006930 A006931 A006932 this_sequence A006934 A006935 A006936

KEYWORD

word,nonn

AUTHOR

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

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.


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