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Search: id:A141576
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| A141576 |
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An alternating sequence of a difference-type: a(0)=-1, a(1)=0, a(2)=1, a(n)=a(n-1)-2*a(n-2)+a(n-3). |
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+0
1
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| -1, 0, 1, 0, -2, -1, 3, 3, -4, -7, 4, 14, -1, -25, -9, 40, 33, -56, -82, 63, 171, -37, -316, -71, 524, 350, -769, -945, 943, 2064, -767, -3952, -354, 6783, 3539, -10381, -10676, 13625, 24596, -13330, -48897, 2359, 86823, 33208, -138079, -117672, 191694
(list; graph; listen)
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OFFSET
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1,5
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REFERENCES
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Martin Gardner, Mathematical Circus,Randon House, New York, 1981, p. 165
http://math.fullerton.edu/mathews/software/Matlab2004.zip
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FORMULA
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O.g.f.: (1-x+x^2)/(-1+x-2x^2+x^3). a(n)=A078019(n-2), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 25 2008]
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PROGRAM
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MatLab program:
function y=fib(n)
%Generates difference squence
fz(1)=-1; fz(2)=0; fz(3)=1;
for k=4:n
fz(k)=fz(k-1)-2*fz(k-2)+fz(k-3);
end
y=fz(n);
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CROSSREFS
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Sequence in context: A032215 A117363 A007307 this_sequence A078019 A038071 A032140
Adjacent sequences: A141573 A141574 A141575 this_sequence A141577 A141578 A141579
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KEYWORD
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sign
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AUTHOR
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Matt Wynne (mattwyn(AT)verizon.net), Aug 18 2008
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EXTENSIONS
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Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 25 2008
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