A242263 - OEIS

%I #10 May 10 2014 13:03:47

%S 45,63,72,81,90,99,108,117,126,135,144,153,162,171,180,189,198,207,

%T 216,225,234,243,252,261,360,405,414,423,432,441,468,477,486,495,504,

%U 522,531,540,549,576,594,603,612,639,648,657,666,675,684,702,711,720,738

%N Numbers that can be written as a sum of numbers using all nonzero decimal digits in descending order.

%C The sequence is divisible by 9 and contains 208 terms. The first term is 45 = 9+8+...+1, the last term is 98765432+1 = 98765433.

%C The decomposition is not unique, for example 126= 98+7+6+5+4+3+2+1 = 9+8+76+5+4+3+21.

%H Michel Lagneau, <a href="/A242263/b242263.txt">Table of n, a(n) for n = 1..208</a>

%e 666 = 9+87+6+543+21.

%p g:= proc(i, j) option remember;

%p       `if`(i=j, {10-i}, {parse(cat(seq(10-h, h=i..j))),

%p        seq(seq(seq(x+y, y=g(h+1, j)), x=g(i, h)), h=i..j-1)})

%p     end:

%p sort([(g(1, 9) minus {987654321})[]])[];  # _Alois P. Heinz_, May 09 2014

%Y Cf. A008591, A242226.

%K nonn,base,fini,full

%O 1,1

%A _Michel Lagneau_, May 09 2014