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Search: id:A136427
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| A136427 |
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a(n)=3a(n-1)-4a(n-2)+6a(n-3)-4a(n-4). |
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+0
1
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| 0, 1, 2, 4, 10, 24, 48, 92, 188, 388, 772, 1524, 3060, 6164, 12308, 24532, 49108, 98388, 196692, 393044, 786260, 1573204, 3146068, 6290772, 12582228, 25167188, 50333012, 100660564, 201323860, 402658644, 805311828, 1610601812, 3221214548
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OFFSET
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0,3
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FORMULA
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O.g.f.: x*(1-x+2*x^2+2*x^4)/((x-1)(2*x-1)(2*x^2+1)). a(n)=3*2^(n-2)-(-1)^[(n+1)/2]*A016116(n+1)/6-4/3, n>1 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008
a(n)=-(2/3)+(2/3)*2^n-[(1/12)*I]*[I*sqrt(2)]^n*sqrt(2)+[(1/12)*I]*sqrt(2)*[ -I*sqrt(2)]^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jun 09 2008
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CROSSREFS
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Adjacent sequences: A136424 A136425 A136426 this_sequence A136428 A136429 A136430
Sequence in context: A009884 A032023 A094837 this_sequence A018114 A089484 A132732
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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), Apr 01 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 25 2008
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