OFFSET
0,3
COMMENTS
Row sums of Riordan array (1,x(1-10x)).
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,-10).
FORMULA
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
MATHEMATICA
CoefficientList[Series[1/(1-x(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{1, -10}, {1, 1}, 30] (* Harvey P. Dale, Dec 16 2012 *)
PROG
(Sage) [lucas_number1(n, 1, 10) for n in range(1, 27)] # Zerinvary Lajos, Apr 22 2009
(PARI) Vec(1/(1-x*(1-10*x))+O(x^99)) \\ Charles R Greathouse IV, Jan 12 2012
(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
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Philippe Deléham, Oct 27 2008
STATUS
approved