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A083653 Consider the binary Champernowne sequence (A030190): smallest number m such that in binary representation n is contained in the concatenation of m and its successors. 2
0, 1, 2, 1, 4, 2, 1, 3, 8, 4, 10, 2, 3, 1, 3, 7, 16, 8, 4, 9, 18, 10, 21, 2, 7, 3, 9, 1, 3, 5, 7, 15, 32, 16, 8, 17, 36, 4, 9, 19, 34, 18, 10, 10, 37, 21, 2, 6, 15, 7, 3, 12, 19, 9, 21, 1, 7, 3, 19, 5, 7, 13, 15, 31, 64, 32, 16, 33, 8, 34, 17, 35, 68, 36, 18, 4, 73, 9, 19, 39, 66, 34, 20, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n)<=n; see A083655 for numbers m with a(m)=m;

a(A055143(n))=1;

A083654(n)-1 = number of successors of a(n) to cover n.

LINKS

Table of n, a(n) for n=0..83.

EXAMPLE

n=24: '11000'=24 is a suffix of the concatenation of the first 8 numbers: '0'1'10'11'100'101'110'111'1000', therefore a(24)=7 and A083654(24)=2.

CROSSREFS

Cf. A030304, A007088.

Sequence in context: A286321 A118235 A304624 * A278290 A135152 A329504

Adjacent sequences:  A083650 A083651 A083652 * A083654 A083655 A083656

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, May 01 2003

EXTENSIONS

Edited by Charles R Greathouse IV, Apr 26 2010

STATUS

approved

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Last modified December 15 22:02 EST 2019. Contains 330012 sequences. (Running on oeis4.)