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Search: id:A089181
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| A089181 |
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(1,3) entry of powers of the orthogonal design shown in A090592. |
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+0
2
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| 1, 2, -3, -20, -19, 102, 337, -40, -2439, -4598, 7877, 47940, 40741, -254098, -793383, 191920, 5937521
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(1)=1, a(2)=2, a(n)=2a(n-1)-7a(n-2) - T. D. Noe (noe(AT)sspectra.com), Dec 11 2006
a(n)=(1/2)*[1+I*sqrt(6)]^(n-1)+(1/2)*[1-I*sqrt(6)]^(n-1)+[(1/12)*I]*[1-I*sqrt(6)]^(n-1)*sqrt(6)-[(1/12) *I]*[1+I*sqrt(6)]^(n-1)*sqrt(6), with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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PROGRAM
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(Other) sage: [lucas_number1(n, 2, 7) for n in xrange(1, 18)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
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CROSSREFS
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Sequence in context: A108022 A108884 A119584 this_sequence A028425 A024630 A032809
Adjacent sequences: A089178 A089179 A089180 this_sequence A089182 A089183 A089184
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KEYWORD
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sign
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AUTHOR
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Simone Severini (ss54(AT)york.ac.uk), Dec 08 2003
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Dec 11 2006
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