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A134846
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Smallest number k containing no zero digit such that k^2 contains exactly n zeros.
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10
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32, 245, 448, 3747, 24495, 62498, 248998, 2449552, 6393747, 6244998, 244949995, 498998998, 2449489753, 24498999998, 28284271249
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The corresponding squares are in A134847.
Browkin (see link, p. 29) gives a number without zero digits whose square has 26 zeros: 4472135954999579392819^2 = 20000000000000000000005837591200400708766761. However, he does not claim that it is the smallest such number, so a(26) <= 4472135954999579392819.
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LINKS
| Jerzy Browkin, Groebner basis (in Polish)
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EXAMPLE
| a(1) = 32 because 32 is the smallest number without zero digits whose square has exactly one zero: 1024.
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CROSSREFS
| Cf. A134843, A134844, A134845, A134847.
Sequence in context: A050997 A056572 A096960 * A066392 A159982 A195592
Adjacent sequences: A134843 A134844 A134845 * A134847 A134848 A134849
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KEYWORD
| nonn,base
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AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Nov 13 2007
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EXTENSIONS
| Edited and a(11), a(12), a(13) added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 20 2007
a(14)-a(15) from Lars Blomberg (lars.blomberg(AT)visit.se), Jun 25 2011
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