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A163663
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a(0) = 0 and A059153(n-1) written in base 2 otherwise.
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1
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0, 100, 11000, 1110000, 111100000, 11111000000, 1111110000000, 111111100000000, 11111111000000000, 1111111110000000000, 111111111100000000000, 11111111111000000000000, 1111111111110000000000000, 111111111111100000000000000, 11111111111111000000000000000
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OFFSET
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0,2
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COMMENTS
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The digit pattern of a(n) is: n times 1 and (n+1) times 0.
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LINKS
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FORMULA
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a(n) = 110*a(n-1) - 1000*a(n-2).
G.f.: 100*x/((100*x-1) * (10*x-1)). (End)
a(n) = (10/9) * (10^n) * (10^n - 1).
a(n) = A002275(n) * 10^(n+1). (End)
E.g.f.: (10/9)*(exp(100*x) - exp(10*x)). - G. C. Greubel, Aug 01 2017
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MATHEMATICA
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Table[FromDigits[Join[PadRight[{}, n-1, 1], PadRight[{}, n, 0]]], {n, 20}] (* Harvey P. Dale, Aug 29 2015 *)
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PROG
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(PARI) x='x+O('x^50); Vec(100*x/((100*x-1)*(10*x-1))) \\ G. C. Greubel, Aug 01 2017
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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