A055162 The number n has digits in ascending order and n=a-b where a has the digits of n in descending order and b has the digits of n in another order (a and b perhaps with extra zeros), ordered by a.

459, 1467, 445599, 134667, 13346667, 1245789, 123456789, 444555999, 1333466667, 123456789, 12457899, 12334566789, 133334666667, 12334566789, 1234567899, 124578999, 444455559999, 1233345666789

Offset

1,1

Comments

Each term of this sequence A055162(n) corresponds to A099009(n+1), with its digits being reordered in the ascending manner. - Alexander R. Povolotsky, Apr 26 2012

All terms of this sequence are divisible by nine, yielding 51, 163, 49511, 14963, 1482963,.... - Alexander R. Povolotsky, Apr 29 2012

References

Denis Borris, Ken Duisenberg's Puzzle of the Week, April 20, 2000

Links

Table of n, a(n) for n=1..18.

Source

Formula

a(n) = A055161(n) - A055160(n).

Example

459 = 954 - 495.

Crossrefs

Cf. A055159, A099009.

Sequence in context: A124620 A224456 A121970 * A055159 A124694 A227754

Adjacent sequences: A055159 A055160 A055161 * A055163 A055164 A055165

Keyword

base,nonn

Author

Henry Bottomley, Apr 27 2000

Status

approved