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Search: id:A163662
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| 10, 1010, 101010, 10101010, 1010101010, 101010101010, 10101010101010, 1010101010101010, 101010101010101010, 10101010101010101010, 1010101010101010101010, 101010101010101010101010, 10101010101010101010101010, 1010101010101010101010101010
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OFFSET
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1,1
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COMMENT
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The digits are n concatenated blocks of (10).
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FORMULA
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a(n) = Sum_{k=1,...,n} 10^(2k-1).
a(n) = 100*a(n-1)+10 = 101*a(n-1)-100*a(n-2). G.f.: 10*x/((100*x-1)*(x-1)).
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MAPLE
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A163662 := proc(n) add(10^(2*k-1), k=1..n) ; end: seq(A163662(n), n=1..30) ; # R. J. Mathar, Jul 08 2009
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CROSSREFS
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Sequence in context: A075171 A106456 A079214 this_sequence A080070 A080120 A006937
Adjacent sequences: A163659 A163660 A163661 this_sequence A163663 A163664 A163665
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KEYWORD
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nonn,base,easy
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AUTHOR
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Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Aug 02 2009
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EXTENSIONS
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Recurrences and g.f. added by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2009
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