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A145978
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Expansion of 1/(1-x(1-8x)).
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6
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1, 1, -7, -15, 41, 161, -167, -1455, -119, 11521, 12473, -79695, -179479, 458081, 1893913, -1770735, -16922039, -2756159, 132620153, 154669425, -906291799, -2143647199, 5106687193, 22255864785, -18597632759, -196644551039
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Row sums of Riordan array (1,1(1-8x)).
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,-8).
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FORMULA
| a(n)=a(n-1)-8*a(n-2), a(0)=1, a(1)=1. a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*8^(n-k).
a(n)=-(1/62)*I*[(1/2)+(1/2)*I*sqrt(31)]^n*sqrt(31)+(1/2)*[(1/2)+(1/2)*I*sqrt(31)]^n+(1/2)*[(1 /2)-(1/2)*I*sqrt(31)]^n+(1/62)*I*[(1/2)-(1/2)*I*sqrt(31)]^n*sqrt(31), with 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-8*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, 8) for n in xrange(1, 27)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
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CROSSREFS
| Cf. A010892, A107920, A106852, A106853, A106854, A145934, A145976
Sequence in context: A048694 A041094 A042287 * A037376 A141548 A146159
Adjacent sequences: A145975 A145976 A145977 * A145979 A145980 A145981
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KEYWORD
| sign,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 26 2008
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