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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
OFFSET
1,2
LINKS
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. A100787 for a similar sequence in decimal.
Sequence in context: A121266 A045988 A008947 * A097585 A063671 A330024
KEYWORD
base,easy,nonn
AUTHOR
Philippe Deléham, Jul 09 2005
STATUS
approved