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A108787 Binary numbers such that the first differences give the same sequence written as a string of individual digits. 4
1, 10, 11, 11, 100, 101, 110, 111, 1000, 1000, 1000, 1001, 1001, 1010, 1011, 1100, 1100, 1101, 1110, 1111, 10000, 10000, 10000, 10000, 10001, 10001, 10001, 10001, 10010, 10010, 10010, 10010, 10011, 10011, 10011, 10100, 10101, 10101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

1, 10, 11, 11, 100, 101, 110, 111, 1000, 1000, 1001, 1001, ... <- sequence (base 2)

..1..1..0..1..1..1..1..1..0..0..1..0... <- first difference are the sequence's digits.

MAPLE

A[1]:= 1: B:= 1: S:= "1":

for n from 2 to 100 do

  B:= B + parse(S[n-1]);

  A[n]:= convert(B, binary);

  S:= cat(S, A[n]);

od:

seq(A[i], i=1..100); # Robert Israel, Jun 11 2019

CROSSREFS

Cf. A108788, A108789, A108790.

Cf. A100787 for a similar sequence in decimal.

Sequence in context: A121266 A045988 A008947 * A097585 A063671 A330024

Adjacent sequences:  A108784 A108785 A108786 * A108788 A108789 A108790

KEYWORD

base,easy,nonn

AUTHOR

Philippe Deléham, Jul 09 2005

STATUS

approved

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Last modified October 23 23:05 EDT 2021. Contains 348217 sequences. (Running on oeis4.)