Re: how these numbers are called ?



Hi,

I'm actually looking for the name of the numbers which have this
property:

"if you take their sum (in a given sequence) there is no other linear
combination of these numbers which can have the same sum. "

the sequences that I gave were just an example. There are many other
sequences which have that property.

thanks,
Laura



Luc Kumps wrote:
laura wrote:
Hi there,

I'm working with a some sequences of numbers and I don't know their
name.

Here are some examples:

n = 1, the sequence is 1
n = 2, the sequence is 2, 3
n = 3, the sequence is 4, 6, 7
n = 4, the sequence is 8, 12, 14, 15
n = 5, the sequence is 16, 24, 28, 30, 31

the general sequence is 2^n - 2^(n-1), 2^n - 2^(n-2), 2^n - 2^(n-3),
..., 2^n - 2^0

Nialpdromes?
http://www.research.att.com/~njas/sequences/A023758

See also
http://mathworld.wolfram.com/Nialpdrome.html
http://mathworld.wolfram.com/Digit.html

Luc K

.



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