A242267 Numbers that can be written as a sum of numbers using all decimal digits in descending order.

45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 468, 477, 486, 495, 504, 522, 531, 540, 549

Offset

1,1

Comments

The sequence is divisible by 9 and contains 368 terms. The first term is 45 = 9 + 8 + ... + 1 + 0; the last two terms are 876543219 = 9 + 876543210 and 987654321 = 987654321 + 0.

The decomposition is not unique.

Links

Michel Lagneau, Table of n, a(n) for n = 1..368

Example

540 is in the sequence because 540 = 9 + 8 + 76 + 5 + 432 + 10.

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, 10) minus {9876543210})[]])[]; # program after Alois P. Heinz, May 09 2014, adapted for this sequence. See A242263.

Crossrefs

Cf. A242263.

Sequence in context: A184043 A345482 A295802 * A242226 A335375 A039423

Adjacent sequences: A242264 A242265 A242266 * A242268 A242269 A242270

Keyword

nonn,base,fini,full

Author

Michel Lagneau, May 10 2014

Status

approved