

A055160


Numbers n with the property that n=ab where a has the digits of n in descending order and b has the digits of n in ascending order (perhaps with leading zeros), ordered by a.


4



495, 6174, 549945, 631764, 63317664, 97508421, 864197532, 554999445, 6333176664, 9753086421, 9975084201, 86431976532, 633331766664, 975330866421, 997530864201, 999750842001, 555499994445, 8643319766532
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OFFSET

1,1


COMMENTS

This sequence appears to differ from A099009 at the positions of two terms in it: 554999445 and 555499994445.  Alexander R. Povolotsky, May 01 2012


REFERENCES

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


LINKS

Table of n, a(n) for n=1..18.
Denis Borris, Ken Duisenberg's Puzzle of the Week, April 20, 2000
Yutaka Nishiyama, The weirdness of number 6174, International Journal of Pure and Applied Mathematicsm, Volume 80 No. 3 2012, 363373.  From N. J. A. Sloane, Oct 29 2014


FORMULA

a(n) = A055161(n)  A055162(n).


EXAMPLE

495 = 954459.


CROSSREFS

Cf. A055157, A099009.
Sequence in context: A151965 A151957 A099009 * A055157 A027808 A104478
Adjacent sequences: A055157 A055158 A055159 * A055161 A055162 A055163


KEYWORD

base,nonn


AUTHOR

Henry Bottomley, Apr 27 2000


STATUS

approved



