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Search: id:A008919
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A008919 n written backwards is a nontrivial multiple of n. +0
5
1089, 2178, 10989, 21978, 109989, 219978, 1099989, 2199978, 10891089, 10999989, 21782178, 21999978, 108901089, 109999989, 217802178, 219999978, 1089001089, 1098910989, 1099999989, 2178002178, 2197821978, 2199999978, 10890001089 (list; graph; listen)
OFFSET

1,1

REFERENCES

D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986.

LINKS

Eric Weisstein's World of Mathematics, Reversal

FORMULA

Theorem (David W. Wilson): If reverse(n) = k*n in base 10, then k = 1, 4 or 9. Hence A008919 is union of A001232 and A008918.

CROSSREFS

Cf. A001232, A008918. Reversals are in A031877.

Sequence in context: A010091 A110819 A071685 this_sequence A110843 A023093 A001232

Adjacent sequences: A008916 A008917 A008918 this_sequence A008920 A008921 A008922

KEYWORD

nonn,base,nice

AUTHOR

njas

EXTENSIONS

Corrected and extended by David W. Wilson (davidwwilson(AT)comcast.net) Aug 15 1996, Dec 15 1997.

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Last modified July 26 23:15 EDT 2008. Contains 142293 sequences.


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