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A014263 Numbers that contain even digits only. 22
0, 2, 4, 6, 8, 20, 22, 24, 26, 28, 40, 42, 44, 46, 48, 60, 62, 64, 66, 68, 80, 82, 84, 86, 88, 200, 202, 204, 206, 208, 220, 222, 224, 226, 228, 240, 242, 244, 246, 248, 260, 262, 264, 266, 268, 280, 282, 284, 286, 288, 400, 402, 404, 406, 408, 420, 422, 424 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

The set of real numbers between 0 and 1 that contain no odd digits in their decimal expansion has Hausdorff dimension log 5 / log 10.

Integers written in base 5 and then doubled (in base 10). - Frank Adams-Watters, Mar 15 2006

A045888(a(n)) = 0. [From Reinhard Zumkeller, Aug 25 2009]

a(n) = A179082(n) for n <= 25. [From Reinhard Zumkeller, Jun 28 2010]

The carryless mod 10 "even" numbers (cf. A004529) sorted and duplicates removed. - N. J. A. Sloane, Aug 03 2010.

Complement of A007957; A196564(a(n)) = 0; A103181(a(n)) = 0. [Reinhard Zumkeller, Oct 04 2011]

REFERENCES

K. J. Falconer, The Geometry of Fractal Sets, Cambridge, 1985; p. 19.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index entries for sequences related to carryless arithmetic

MATHEMATICA

Select[Range[450], And@@EvenQ[IntegerDigits[#]]&]  [From Harvey P. Dale, Jan. 30, 2011]

PROG

(Haskell)

a014263 n = a014263_list !! (n-1)

a014263_list = filter (all (`elem` "02468") . show) [0, 2..]

-- Reinhard Zumkeller, Jul 05 2011

(MAGMA) [n: n in [0..424] | Set(Intseq(n)) subset [0..8 by 2]];  // Bruno Berselli, Jul 19 2011

CROSSREFS

Cf. A061810, A061811, A007091.

Cf. A014261; subsequence of A059708.

Sequence in context: A179082 A194376 A062897 * A169906 A061651 A131122

Adjacent sequences:  A014260 A014261 A014262 * A014264 A014265 A014266

KEYWORD

nonn,base,easy

AUTHOR

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

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.