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Search: id:A153382
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| A153382 |
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a(n)=a(n-1)+2a(n-2)-a(n-3)-a(n-4), a(0)=0,a(1)=8,a(2)=10,a(3)=18. |
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+0
3
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| 0, 8, 10, 18, 30, 48, 80, 128, 210, 338, 550, 888, 1440, 2328, 3770, 6098, 9870, 15968, 25840, 41808, 67650, 109458, 177110, 286568, 463680, 750248, 1213930, 1964178, 3178110, 5142288, 8320400, 13462688, 21783090, 35245778, 57028870, 92274648
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Recurrence in A014217,A074331,A074392 and A102081.
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FORMULA
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G.f.: 2x(4+x-4x^2)/((1-x)(1+x)(1-x-x^2)). a(n)= -2*A000035(n)+10*A000045(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 03 2009]
a(n)=-1+(-1)^n+2*sqrt(5)*{[(1/2)+(1/2)*sqrt(5)]^n-[(1/2)-(1/2)*sqrt(5)]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 09 2009]
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CROSSREFS
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Sequence in context: A143617 A015732 A079347 this_sequence A157911 A090097 A022322
Adjacent sequences: A153379 A153380 A153381 this_sequence A153383 A153384 A153385
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Dec 25 2008
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EXTENSIONS
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Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 03 2009
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