A242264 Numbers that can be written as a sum of numbers using all nonzero decimal digits in descending order and also all nonzero decimal digits in ascending order.

45, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 252, 261, 432, 441, 486, 495, 504, 549, 576, 594, 603, 612, 666, 675, 684, 702, 711, 720, 738, 756, 783, 810, 819, 828, 846, 873, 891, 927, 963, 972, 1035, 1044, 1080, 1260, 1323, 1368, 1377

Offset

1,1

Comments

a(n) = {A242226} intersection {A242263}. The sequence is divisible by 9 and contains 58 terms.

Links

Table of n, a(n) for n=1..58.

Example

666 = 1+2+3+4+567+89 = 9+87+6+543+21.

Maple

g:= proc(i, j, t) option remember; `if`(i=j, {`if`(t=1, i, 10-i)},
      {parse(cat(seq(`if`(t=1, h, 10-h), h=i..j))), seq(seq(
       seq(x+y, y=g(h+1, j, t)), x=g(i, h, t)), h=i..j-1)})
    end:
sort([(g(1, 9, 1) intersect g(1, 9, 0))[]])[]; # Alois P. Heinz, May 09 2014

Crossrefs

Cf. A008591, A242226, A242263.

Sequence in context: A140276 A140277 A242263 * A333326 A077646 A230577

Adjacent sequences: A242261 A242262 A242263 * A242265 A242266 A242267

Keyword

nonn,base,fini,full

Author

Michel Lagneau, May 09 2014

Status

approved