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

Author

Henry Bottomley, Apr 27 2000

Keywords

• base
• nonn

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

Examples

			459 = 954 - 495.
		

References

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

Links

• Source

Crossrefs

Cf. A055159, A099009.

Formula

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