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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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified November 29 08:15 EST 2023. Contains 367429 sequences. (Running on oeis4.)