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A099914
Expansion of (1+3x)/((1-x)(1-10x)).
3
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,...}.
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
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Oct 30 2004
STATUS
approved