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A134846 Smallest number k containing no zero digit such that k^2 contains exactly n zeros. +0
11
32, 245, 448, 3747, 24495, 62498, 248998, 2449552, 6393747, 6244998, 244949995, 498998998, 2449489753 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

LINKS

Jerzy Browkin, Groebner basis (in Polish)

EXAMPLE

a(1) = 32 because 32 is the smallest number without zero digits whose square has exactly one zero: 1024.

CROSSREFS

Cf. A134843, A134844, A134845, A134847.

Adjacent sequences: A134843 A134844 A134845 this_sequence A134847 A134848 A134849

Sequence in context: A050997 A056572 A096960 this_sequence A066392 A097243 A022327

KEYWORD

nonn,base

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Nov 13 2007

EXTENSIONS

Edited and a(11), a(12), a(13) added by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 20 2007

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.


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