A178349 Partial sums of sum_{n=0...infinity} 1010^n.

1, 1011, 1021111, 1031322111, 1041635332111, 1052051685432111, 1062572202286432111, 1073197924309296432111, 1083929903552389396432111, 1094769202587913290396432111, 1105716894613792423300396432111, 1116774063559930347533400396432111

Offset

1,2

Comments

For n = infinite: a(n)/1010^n = 1/1009 (Sequence A000930 reversed in decimal expansion).

Links

G. C. Greubel, Table of n, a(n) for n = 1..330

Index entries for linear recurrences with constant coefficients, signature (1011,-1010).

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

Cf. A000930, A007318.

Sequence in context: A115769 A267613 A178396 * A291962 A094946 A158877

Adjacent sequences: A178346 A178347 A178348 * A178350 A178351 A178352

Keyword

nonn,easy

Author

Mark Dols, May 25 2010

Extensions

Corrected and extended by Harvey P. Dale, Oct 02 2014

Status

approved