A242263 Numbers that can be written as a sum of numbers using all nonzero decimal digits in descending order.

45, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 360, 405, 414, 423, 432, 441, 468, 477, 486, 495, 504, 522, 531, 540, 549, 576, 594, 603, 612, 639, 648, 657, 666, 675, 684, 702, 711, 720, 738

Offset

1,1

Comments

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.

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

Links

Michel Lagneau, Table of n, a(n) for n = 1..208

Example

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

Maple

g:= proc(i, j) option remember;
      `if`(i=j, {10-i}, {parse(cat(seq(10-h, h=i..j))),
       seq(seq(seq(x+y, y=g(h+1, j)), x=g(i, h)), h=i..j-1)})
    end:
sort([(g(1, 9) minus {987654321})[]])[];  # Alois P. Heinz, May 09 2014

Crossrefs

Cf. A008591, A242226.

Sequence in context: A324367 A140276 A140277 * A242264 A333326 A077646

Adjacent sequences: A242260 A242261 A242262 * A242264 A242265 A242266

Keyword

nonn,base,fini,full

Author

Michel Lagneau, May 09 2014

Status

approved