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A146083
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Expansion of 1/(1 - x*(1 - 11*x)).
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4
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1, 1, -10, -21, 89, 320, -659, -4179, 3070, 49039, 15269, -524160, -692119, 5073641, 12686950, -43123101, -182679551, 291674560, 2301149621, -907270539, -26219916370, -16239940441, 272179139629, 450818484480, -2543152051439
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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(1-11x)).
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LINKS
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FORMULA
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a(n) = a(n-1)-11*a(n-2) ; a(0)=1, a(1)=1.
a(n) = Sum_{k=0..n} A109466(n,k)*11^(n-k).
G.f.: 1/(1-x+11*x^2).
E.g.f.: exp(x/2)*(cos(sqrt(43)*x/2) + (1/sqrt(43))*sin(sqrt(43)*x/2)).
(End)
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MATHEMATICA
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LinearRecurrence[{1, -11}, {1, 1}, 30] (* Harvey P. Dale, Jan 07 2016 *)
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PROG
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(Sage) [lucas_number1(n, 1, 11) for n in range(1, 26)] # Zerinvary Lajos, Apr 22 2009
(Magma) [n le 2 select 1 else Self(n-1)-11*Self(n-2): n in [1..30]]; // Vincenzo Librandi, Jan 31 2016
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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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