A108787 Binary numbers such that the first differences give the same sequence written as a string of individual digits.

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

Offset: 1

Author

Philippe Deléham, Jul 09 2005

Keywords

• base
• easy
• nonn

Examples

			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.
		

Links

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

Crossrefs

Cf. A108788, A108789, A108790.

Cf. A100787 for a similar sequence in decimal.

Programs

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