A009995 Digits in decreasing order

zak seidov zakseidov at yahoo.com
Tue May 9 02:16:04 CEST 2006


Neil, Eric, seqfans,

 Neil gives in OEIS :

A009995  Digits in decreasing order.   
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 21, 30, 31, 32,
40, 41, 42, 43, 50, 51, 52, 53, 54,... 

 While Eric gives Rf. as follows:
(Eric W. Weisstein. "Digit." From MathWorld--A Wolfram
Web Resource. 
http://mathworld.wolfram.com/Digit.html )
in his Table;

A009995 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50,
51, ... 

And Eric notes that numbers =>10.

It seems that one-digit numbers
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 
should be omitted from A009995, 
right?

In which sense these one-digit numbers have 
"digits in decreasing order"? 

BTW If we omit one-digit numbers
then total number of decimal numbers with
"digits in decreasing order"
would be 1013, not 1023=2^10-1 
as both Eric and Neil claim. 

What I'm missing? 

Zak

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