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A178349
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Partial sums of sum_{n=0...infinity} 1010^n.
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1
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1, 1011, 1021111, 1031322111, 1041635332111, 1052051685432111, 1062572202286432111, 1073197924309296432111, 1083929903552389396432111, 1094769202587913290396432111, 1105716894613792423300396432111, 1116774063559930347533400396432111
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OFFSET
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1,2
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COMMENTS
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For n = infinite: a(n)/1010^n = 1/1009 (Sequence A000930 reversed in decimal expansion).
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..330
Index entries for linear recurrences with constant coefficients, signature (1011,-1010).
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FORMULA
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a(n) = a(n-1)* 1010 + 1
a(n) = (1010^n-1)/1009, with n>=1. - Paolo P. Lava, Jun 10 2010
G.f.: x / ( (1010*x-1)*(x-1) ). - R. J. Mathar, Nov 03 2016
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EXAMPLE
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As overlapping Pascal triangles:
......1
....1.0.1.1
...1.0.2.1.1.1.1
..1.0.3.1.3.2.2.1.1.1
.1.0.4.1.6.3.5.3.3.2.1.1.1
1.0.5.2.0.5.1.6.8.5.4.3.2.1.1.1
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MATHEMATICA
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Accumulate[1010^Range[0, 20]] (* Harvey P. Dale, Oct 02 2014 *)
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PROG
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(PARI) for(n=1, 25, print1((1010^n-1)/1009, ", ")) \\ G. C. Greubel, May 02 2017
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CROSSREFS
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Cf. A000930, A007318.
Sequence in context: A115769 A267613 A178396 * A291962 A094946 A158877
Adjacent sequences: A178346 A178347 A178348 * A178350 A178351 A178352
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KEYWORD
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nonn,easy
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AUTHOR
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Mark Dols, May 25 2010
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EXTENSIONS
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Corrected and extended by Harvey P. Dale, Oct 02 2014
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STATUS
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approved
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