A099914 Expansion of (1+3x)/((1-x)(1-10x)).

1, 14, 144, 1444, 14444, 144444, 1444444, 14444444, 144444444, 1444444444, 14444444444, 144444444444, 1444444444444, 14444444444444, 144444444444444, 1444444444444444, 14444444444444444, 144444444444444444

Offset

0,2

Comments

Partial sums of (1+3x)/(1-10x)={1,13,130,1300,...}.

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (11,-10).

Formula

a(n)=10^n*13/9-4/9; a(n)=11a(n-1)-10a(n-2), a(0)=1, a(1)=14.

Mathematica

CoefficientList[Series[(1+3x)/((1-x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{11, -10}, {1, 14}, 20] (* or *) Table[FromDigits[PadRight[{1}, n, 4]], {n, 20}] (* Harvey P. Dale, Mar 05 2023 *)

Crossrefs

Sequence in context: A238473 A016233 A276250 * A016278 A241169 A209347

Adjacent sequences: A099911 A099912 A099913 * A099915 A099916 A099917

Keyword

easy,nonn

Author

Paul Barry, Oct 30 2004

Status

approved