Question related to sequence A071267

[Diana Mecum]

Sequence Fans,

I am looking at sequence A071267.

%I A071267
%S A071267
2,4,6,8,10,11,12,14,16,18,22,33,44,55,66,77,88,99,101,110,121,132,143,
%T A071267 154,165,176,187,198,111,222,666,888,1110
%N A071267 Numbers which can be expressed as the sum of all distinct digit
permutations of
               some number k.
%C A071267 222 can be expressed so in two different ways i.e. 222= 200 +020
+ 002 as well as
               222= 101 +110 +011. Question: find a number which can be so
expressed
               in n different ways.
%e A071267 1110 is a member as a sum of all distinct permutations of 104.
i.e. 104,140,410,
               401,014,041.
%Y A071267 Sequence in context: A081472 A097660 A067030 this_sequence
A072427 A050420 A096922
%Y A071267 Adjacent sequences: A071264 A071265 A071266 this_sequence A071268
A071269 A071270
%K A071267 base,more,nonn
%O A071267 1,1
%A A071267 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 01 2002

When I try to follow the rule for generating the sequence numbers, I get the
following list;

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 111,
121, 132, 143, 154, 165,
 176, 187, 222, 444, 555, 666, 777, 888, 999, 1110, 1221, 1332, 1443, 1554,
1665, 1776, 1887,
 1998, 2109, 2220, 2442, 2664, 2886, 3108, 3330, 3552, 3774, 3996

Can someone explain why my list differs from the original? I am not
understanding the hypothesis to generate the original list.

Diana M.

-- 
"God made the integers, all else is the work of man."
L. Kronecker, Jahresber. DMV 2, S. 19.
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