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A146080
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Expansion of 1/(1-x(1-10x)).
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5
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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
(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(1-10x)).
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,-10).
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FORMULA
| a(n)=a(n-1)-10*a(n-2) ; a(0)=1, a(1)=1. a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*10^(n-k).
a(n)=-(1/78)*I*[(1/2)+(1/2)*I*sqrt(39)]^n*sqrt(39)+(1/2)*[(1/2)+(1/2)*I*sqrt(39)]^n+(1/78 )*I*sqrt(39)*[(1/2)-(1/2)*I*sqrt(39)]^n+(1/2)*[(1/2)-(1/2)*I*sqrt(39)]^n, 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-10*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, 10) for n in xrange(1, 27)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
(PARI) Vec(1/(1-x*(1-10*x))+O(x^99)) \\ Charles R Greathouse IV, Jan 12 2012
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CROSSREFS
| Sequence in context: A046103 A146459 A041158 * A186508 A000981 A060227
Adjacent sequences: A146077 A146078 A146079 * A146081 A146082 A146083
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KEYWORD
| sign,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 27 2008
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