A014254 -id:A014254 - cp's OEIS frontend

A006933 'Eban' numbers (the letter 'e' is banned!).

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, 4060, 4062, 4064, 4066, 6000

Offset: 1

N. J. A. Sloane

Invented by N. J. A. Sloane circa 1990.
Theorem (N. J. A. Sloane): in English every odd number contains an 'e'.
The first number that would appear in the British Eban list but not the American list is 2*10^21. - Douglas Boffey, Jun 21 2012
A085513(a(n)) = 0. - Reinhard Zumkeller, Jan 23 2015

			2052 is in the sequence because written out in English words, "two thousand fifty-two", it does not contain a single instance of the letter E.
2053 (two thousand fifty-three) is not in the sequence because written out it contains two instances of E.

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 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).

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
Roel and Bas van Dijk, Numerals package, Hackage (Haskell packages)
Brady Haran and N. J. A. Sloane, What Number Comes Next? (2018), Numberphile video
Eric Weisstein's World of Mathematics, Eban Number
Index entries for sequences related to number of letters in n

Cf. A082504.
Cf. A085513, A008520 (complement), A008521 (ban o), A008523 (ban t), A089589 (ban i), A089590 (ban u), A014254 (a French version), A287876 (a Hebrew version).
Cf. A008537 (without 'n'), A072956 (turban numbers: without r, t or u), A072957 (urban numbers: without r or u), A089589 (without 'i').

import Data.Maybe (fromJust)
import Data.Text (Text); import qualified Data.Text as T (unpack)
import Text.Numeral.Grammar.Reified (defaultInflection)
import qualified Text.Numeral.Language.EN as EN  -- see link
a006933 n = a006933_list !! (n-1)
a006933_list = filter (T.all (/= 'e') . numeral) [0..] where
   numeral :: Integer -> Text
   numeral = fromJust . EN.gb_cardinal defaultInflection
-- Reinhard Zumkeller, Jan 23 2015

[ 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]]; // Sergei Haller (sergei(AT)sergei-haller.de), Dec 21 2006

is(n)=!setsearch(Set(Vec(English(n))), "e") \\ See A052360 for English(). - M. F. Hasler, Apr 01 2019

from num2words import num2words
[n for n in range(6001) if 'e' not in num2words(n)] # Indranil Ghosh, Jul 05 2017

More terms from WG Zeist, Aug 28 2012

More cross-references from M. F. Hasler, Apr 01 2019

A054047 Numbers which can be read as (possibly different) numbers when rotated by 180 degrees (final zeros allowed).

Original entry on oeis.org

0, 1, 6, 8, 9, 10, 11, 16, 18, 19, 60, 61, 66, 68, 69, 80, 81, 86, 88, 89, 90, 91, 96, 98, 99, 100, 101, 106, 108, 109, 110, 111, 116, 118, 119, 160, 161, 166, 168, 169, 180, 181, 186, 188, 189, 190, 191, 196, 198, 199, 600, 601, 606, 608, 609, 610, 611, 616, 618

Offset: 0

Alain Zalmanski (alain.zalmanski(AT)cybercable.fr), Apr 28 2000

A. Zalmanski, Some fun with figures and letters, unpublished.

Cf. A006933, A014254, A045574.

Corrected and extended by James Sellers, Apr 30 2000

A050280 Prime liponombres.

Original entry on oeis.org

3, 5, 23, 1000003, 6000023, 8000023, 20000003, 20000023, 26000003, 1003000001, 1006000001, 1023000023, 1028000023, 3001000001, 3003000001, 3010000001, 3018000001, 3018000023, 3023000023, 5005000001

Offset: 1

N. J. A. Sloane, May 13 2002

Primes with no "e" in the name of the number in French.

N. Graner, Liponombres

Primes in A014254.

More terms from Nicolas Graner (Nicolas.Graner(AT)cri.u-psud.fr), May 14 2003. There are 512233 terms in this sequence.

A287876 Numbers in Hebrew that do not contain the letter ayin.

Original entry on oeis.org

0, 1, 2, 3, 5, 6, 8, 30, 31, 32, 33, 35, 36, 38, 50, 51, 52, 53, 55, 56, 58, 60, 61, 62, 63, 65, 66, 68, 80, 81, 82, 83, 85, 86, 88, 100, 101, 102, 103, 105, 106, 108, 130, 131, 132, 133, 135, 136, 138, 150, 151, 152, 153, 155, 156, 158, 160, 161, 162, 163, 165, 166, 168, 180, 181, 182, 183, 185, 186, 188, 200

Offset: 1

Na'ama Y. Av-Shalom, Jun 15 2017

Suggested by the "Eban numbers", A006933, and, inspired by that name, could also be called the "Eyes shut" sequence, since ayin also means "eye" in Hebrew.

If the OEIS permitted non-ASCII characters, another name would be the עban numbers.

Cf. A006933, A014254.

Corrected and extended by Nathan Fox, Jun 15 2017

A191299 List of integers in Pynchon's "Gravity's Rainbow".

Original entry on oeis.org

20, 200, 200, 69, 1935, 1939, 1942, 1944, 10, 300, 200, 1766, 1812, 1933, 1931, 1931, 15, 200, 1944, 1936, 33, 33

Offset: 1

John M. Campbell, May 30 2011

Integers, in order (up to and including p. 36) appearing in the 1973 novel "Gravity's Rainbow".
Rules: In order to avoid confusion with rational numbers, numbers in strings less representative of entire isolated integers (e.g. "6:43:16 BDST", p. 29), single-quotation-mark-truncated integers (e.g. " '37 ", p. 20, as opposed to "1937"), etc., we begin by establishing the following rules:
(i) The integers cannot be connected to non-space-characters except if: the integer is immediately followed by a period then a space, or a comma then a space, or a question mark then a space, or an exclamation point then a space, or a colon then a space, or a semicolon then a space, or a closing bracket, or a double quotation mark (but not a single quotation mark, e.g. "86'd" p. 22); or except if an opening bracket immediately precedes the integer, or if a double quotation mark (but not a single quotation mark, given the truncation concern indicated above) immediately precedes the integer; integers may be concatenated using "-".
(ii) Integers containing a comma such as "50,000" (p. 85) are allowed.
(iii) These numbers cannot be written using characters of the alphabet, e.g. "Zero" (p. 1), or "World War II" (p. 17).
(iv) The page numbers and chapter numbers of the book are not included (although the corresponding page numbers are indicated below).
(v) Integers appearing in equations are included.
(End of Rules)
See examples below for integers which are and are not(/would not be) included by the above rules.
The corresponding page numbers (in the below edition) are: 3, 7, 7, 9, 14, 17, 18, 21, 21, 25, 27, 27, 27, 28, 29, 29, 31, 34, 34, 36, 36, 36.

			"...drunks, old veterans still in shock from ordnance 20 years obsolete..." (p. 3)
"Well, the range of these things is supposed to be over 200 miles. You can't see a vapor trail 200 miles, now, can you." (p. 7)
"A lot of stuff prior to 1944 is getting blurry now." (p. 21)
"...hmm, the frock she imagines is about 15 guineas and who knows how many coupons..." (p. 31)
Integers in the following strings/words are not/would not be included: "A4" (p. 8), "V-2" (p. 8), "4/4" (p. 9), "2" immediately followed by the single "1/2" symbol (p. 16), "8:20" (p. 17), " '37 " (p. 20), "86'd" (p. 22), "6:43:16 British Double Summer Time" (p. 27), "3-sigma" (p. 41), "0.37" (p. 57), "10%" (p. 62), "140th" (p. 65), " '39 " (p. 65), "104^o" (where "o" is the degree symbol) (p. 133), etc.

Thomas Pynchon, "Gravity's Rainbow". 1973. Penguin Books, New York, 2006.

Wikipedia, Gravity's Rainbow

Cf. A055627, A145833, A014254, A142719. Other sequences involving a work of fiction.

A266604 Integers whose writing includes only the vowel "e" (in French).

Original entry on oeis.org

7, 30, 37, 100, 107, 130, 137, 700, 707, 730, 737

Offset: 1

Philippe Deléham, Jan 01 2016

Sequence dedicated to G. Perec (1936 - 1982).

			sept, trente, trente-sept, cent, cent sept, cent trente, cent trente-sept, sept cent, sept cent sept, sept cent trente, sept cent trente-sept.

G. Perec, Les revenentes, Editions Julliard, Paris, 1972

Cf. A006933, A014254, A261159.

cp's OEIS Frontend

A006933 'Eban' numbers (the letter 'e' is banned!).

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A054047 Numbers which can be read as (possibly different) numbers when rotated by 180 degrees (final zeros allowed).

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A050280 Prime liponombres.

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A287876 Numbers in Hebrew that do not contain the letter ayin.

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A191299 List of integers in Pynchon's "Gravity's Rainbow".

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A266604 Integers whose writing includes only the vowel "e" (in French).

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