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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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 * A077646 A230577 A175761

Adjacent sequences:  A242261 A242262 A242263 * A242265 A242266 A242267

KEYWORD

nonn,base,fini,full

AUTHOR

Michel Lagneau, May 09 2014

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)