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 A076478 The binary Champernowne sequence: concatenate binary vectors of lengths 1, 2, 3, ... in numerical order. 15
 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Can also be seen as triangle where row n contains all binary vectors of length n+1. - Reinhard Zumkeller, Aug 18 2015 REFERENCES Bodil Branner, Dynamics, Chap. IV.14 of The Princeton Companion to Mathematics, ed. T. Gowers, p. 499. K. Dajani and C. Kraaikamp, Ergodic Theory of Numbers, Math. Assoc. America, 2002, p. 72. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Michael Barnsley, and Andrew Vince, Self-similar polygonal tiling, The American Mathematical Monthly 124.10 (2017): 905-921. See page 917. Igor Pak, Complexity problems in enumerative combinatorics, arXiv:1803.06636 [math.CO], 2018. FORMULA To get the m-th binary vector, write m+1 in base 2 and remove the initial 1. - Clark Kimberling, Feb 07 2010 EXAMPLE 0, 1, 0,0, 0,1, 1,0, 1,1, 0,0,0, 0,0,1, 0,1,0, 0,1,1, 1,0,0, 1,0,1, ... MATHEMATICA d[n_] := Rest@IntegerDigits[n + 1, 2] + 1; -1 + Flatten[Array[d, 50]] (* Clark Kimberling, Feb 07 2012 *) PROG (PARI) {m=5; for(d=1, m, for(k=0, 2^d-1, v=binary(k); while(matsize(v)[2] if x == 0 then Nothing else Just \$ swap \$ divMod x 2 )) [1..] -- Reinhard Zumkeller, Feb 08 2012 (Haskell) a076478_row n = a076478_tabf !! n :: [[Int]] a076478_tabf = tail \$ iterate (\bs -> map (0 :) bs ++ map (1 :) bs) [[]] a076478_list' = concat \$ concat a076478_tabf -- Reinhard Zumkeller, Aug 18 2015 CROSSREFS Cf. A007931, A030308, A053645. Sequence in context: A285831 A188294 A079101 * A091444 A091447 A106701 Adjacent sequences:  A076475 A076476 A076477 * A076479 A076480 A076481 KEYWORD nonn,easy,tabf AUTHOR N. J. A. Sloane, Nov 10 2002 EXTENSIONS Extended by Klaus Brockhaus, Nov 11 2002 STATUS approved

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Last modified March 23 16:52 EDT 2019. Contains 321432 sequences. (Running on oeis4.)