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Search: id:A102807
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| A102807 |
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The number (333...334)^2. |
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+0
5
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| 1, 16, 1156, 111556, 11115556, 1111155556, 111111555556, 11111115555556, 1111111155555556, 111111111555555556, 11111111115555555556, 1111111111155555555556, 111111111111555555555556, 11111111111115555555555556, 1111111111111155555555555556, 111111111111111555555555555556
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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An infinite sequence of squares with no zeros in base 10.
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REFERENCES
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Italo Ghersi, Matematica dilettevole e curiosa, pag. 111-112, Hoepli, Milano, 1967 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Dec 31 2008]
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FORMULA
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a(n)= (100^n+4*10^n+4)/9. G.f.: (1-95x+490x^2)/((1-x)(100x-1)(10x-1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 06 2009]
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CROSSREFS
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Cf. A052041, A102794.
Sequence in context: A029701 A144915 A053903 this_sequence A160131 A064346 A113104
Adjacent sequences: A102804 A102805 A102806 this_sequence A102808 A102809 A102810
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KEYWORD
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nonn
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AUTHOR
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Ron Knott, Feb 27 2005
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