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A242263 Numbers that can be written as a sum of numbers using all nonzero decimal digits in descending order. 3
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 (list; graph; refs; listen; history; text; internal format)
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 A077646 A230577

Adjacent sequences:  A242260 A242261 A242262 * A242264 A242265 A242266

KEYWORD

nonn,base,fini,full

AUTHOR

Michel Lagneau, May 09 2014

STATUS

approved

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Last modified October 16 06:10 EDT 2019. Contains 328046 sequences. (Running on oeis4.)