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Search: id:A092697
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A092697 Least n-parasitic number. +0
3
105263157894736842, 1034482758620689655172413793, 102564, 102040816326530612244897959183673469387755, 1016949152542372881355932203389830508474576271186440677966, 1014492753623188405797, 1012658227848, 10112359550561797752808988764044943820224719 (list; graph; listen)
OFFSET

2,1

COMMENT

A k-parasitic number (2<=k<=9) is one such that when it is multiplied by k, the product obtained is merely its rightmost digit transferred in front at the leftmost end.

REFERENCES

C. A. Pickover, Wonders of Numbers, Chapter 28, Oxford Univ. Press UK 2000.

LINKS

P. Yiu, k-left-transposable integersChap.18.2 pp. 168/360 in 'Recreational Mathematics'

FORMULA

a(n) = n(10^m-1)/(10n-1), where m (=A094224) is the order of 10 modulo 10n-1. - Moses Liskov (mliskov(AT)cs.wm.edu), May 17 2006

EXAMPLE

102564 is 4-parasitic because we have 102564*4=410256.

CROSSREFS

Cf. A094676.

Sequence in context: A008923 A097717 A128857 this_sequence A067818 A095433 A099727

Adjacent sequences: A092694 A092695 A092696 this_sequence A092698 A092699 A092700

KEYWORD

fini,full,base,nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 21 2004; corrected Dec 17 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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