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A163663
a(0) = 0 and A059153(n-1) written in base 2 otherwise.
1
0, 100, 11000, 1110000, 111100000, 11111000000, 1111110000000, 111111100000000, 11111111000000000, 1111111110000000000, 111111111100000000000, 11111111111000000000000, 1111111111110000000000000, 111111111111100000000000000, 11111111111111000000000000000
OFFSET
0,2
COMMENTS
The digit pattern of a(n) is: n times 1 and (n+1) times 0.
FORMULA
From R. J. Mathar, Aug 12 2009: (Start)
a(n) = 110*a(n-1) - 1000*a(n-2).
a(n) = 100*A109241(n-1).
G.f.: 100*x/((100*x-1) * (10*x-1)). (End)
From Wesley Ivan Hurt, Jun 22 2013: (Start)
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
MATHEMATICA
Table[FromDigits[Join[PadRight[{}, n-1, 1], PadRight[{}, n, 0]]], {n, 20}] (* Harvey P. Dale, Aug 29 2015 *)
PROG
(PARI) x='x+O('x^50); Vec(100*x/((100*x-1)*(10*x-1))) \\ G. C. Greubel, Aug 01 2017
CROSSREFS
Sequence in context: A027576 A099374 A233627 * A272681 A267674 A267846
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Aug 02 2009
EXTENSIONS
Edited by R. J. Mathar, Aug 12 2009
STATUS
approved