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A178349 Partial sums of sum_{n=0...infinity} 1010^n. 1
1, 1011, 1021111, 1031322111, 1041635332111, 1052051685432111, 1062572202286432111, 1073197924309296432111, 1083929903552389396432111, 1094769202587913290396432111, 1105716894613792423300396432111, 1116774063559930347533400396432111 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
For n = infinite: a(n)/1010^n = 1/1009 (Sequence A000930 reversed in decimal expansion).
LINKS
FORMULA
a(n) = a(n-1)* 1010 + 1
G.f.: x / ( (1010*x-1)*(x-1) ). - R. J. Mathar, Nov 03 2016
EXAMPLE
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
MATHEMATICA
Accumulate[1010^Range[0, 20]] (* Harvey P. Dale, Oct 02 2014 *)
PROG
(PARI) for(n=1, 25, print1((1010^n-1)/1009, ", ")) \\ G. C. Greubel, May 02 2017
CROSSREFS
Sequence in context: A115769 A267613 A178396 * A291962 A094946 A158877
KEYWORD
nonn,easy
AUTHOR
Mark Dols, May 25 2010
EXTENSIONS
Corrected and extended by Harvey P. Dale, Oct 02 2014
STATUS
approved

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Last modified April 13 18:35 EDT 2024. Contains 371644 sequences. (Running on oeis4.)