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A146080
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Expansion of 1/(1-x*(1-10*x)).
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6
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1, 1, -9, -19, 71, 261, -449, -3059, 1431, 32021, 17711, -302499, -479609, 2545381, 7341471, -18112339, -91527049, 89596341, 1004866831, 108903421, -9939764889, -11028799099, 88368849791, 198656840781, -685031657129, -2671600064939
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OFFSET
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0,3
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COMMENTS
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Row sums of Riordan array (1,x(1-10x)).
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LINKS
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FORMULA
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a(n) = a(n-1) - 10*a(n-2), a(0)=1, a(1)=1.
a(n) = Sum_{k=0..n} A109466(n,k)*10^(n-k).
E.g.f.: exp(x/2)*(cos(sqrt(39)*x/2) + (1/sqrt(39))*sin(sqrt(39)*x/2)). - G. C. Greubel, Jan 30 2016
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MATHEMATICA
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CoefficientList[Series[1/(1-x(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{1, -10}, {1, 1}, 30] (* Harvey P. Dale, Dec 16 2012 *)
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PROG
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(Sage) [lucas_number1(n, 1, 10) for n in range(1, 27)] # Zerinvary Lajos, Apr 22 2009
(Magma) I:=[1, 1]; [n le 2 select I[n] else Self(n-1) - 10*Self(n-2): n in [1..30]]; // G. C. Greubel, Jan 19 2018
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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