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A146083
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Expansion of 1/(1-x(1-11x)).
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3
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Row sums of Riordan array (1,x(1-11x)).
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,-11)
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FORMULA
| a(n)=a(n-1)-11*a(n-2) ; a(0)=1, a(1)=1. a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*11^(n-k).
a(n)=(1/2)*[(1/2)+(1/2)*I*sqrt(43)]^n-(1/86)*I*[(1/2)+(1/2)*I*sqrt(43)]^n*sqrt(43)+(1/2)*[(1/2) -(1/2)*I*sqrt(43)]^n+(1/86)*I*[(1/2)-(1/2)*I*sqrt(43)]^n*sqrt(43), with n>=0 and I=sqrt(-1) [From Paolo P. Lava (paoloplava(AT)gmail.com), Nov 18 2008]
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MATHEMATICA
| Join[{a=1, b=1}, Table[c=b-11*a; a=b; b=c, {n, 80}]] (*From Vladimir Joseph Stephan Orlovsky, Jan 22 2011*)
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PROG
| (Other) sage: [lucas_number1(n, 1, 11) for n in xrange(1, 26)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
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CROSSREFS
| Cf. A010892, A107920, A106852, A106853, A106854, A145934, A145976, A145978, A146078, A146080
Sequence in context: A096564 A041196 A082669 * A001739 A072805 A119033
Adjacent sequences: A146080 A146081 A146082 * A146084 A146085 A146086
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KEYWORD
| sign
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 27 2008
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