

A055162


The number n has digits in ascending order and n=ab 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.


5



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



