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Search: id:A131562
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| A131562 |
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a(n)= -3a(n-1) -3a(n-2)-2a(n-3), a(0)=1, a(1)=-2, a(2)=2. |
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+0
2
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| 1, -2, 2, -2, 4, -10, 22, -44, 86, -170, 340, -682, 1366, -2732, 5462, -10922, 21844, -43690, 87382, -174764, 349526, -699050, 1398100, -2796202, 5592406, -11184812, 22369622, -44739242, 89478484, -178956970, 357913942, -715827884, 1431655766, -2863311530
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OFFSET
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0,2
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FORMULA
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|v(n)| = 2^n+A130772(n); 2*|v(n)|-|v(n+1)|= 2*A057079(n), where v(n)=a(n+1)-a(n) are first differences.
O.g.f.: (1+x-x^2)/((1+2x)(1+x+x^2). a(n)=(-1)^n*A130707(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2008
Binomial transform yields A130151 without the first two terms. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2008
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CROSSREFS
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Cf. A130707.
Sequence in context: A102831 A021822 A130707 this_sequence A107902 A123914 A088885
Adjacent sequences: A131559 A131560 A131561 this_sequence A131563 A131564 A131565
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KEYWORD
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sign
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Aug 27 2007
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2008
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