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Search: id:A135520
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| A135520 |
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a(n)=a(n-1)+4a(n-2)-4a(n-3). |
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+0
9
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| 2, 1, 8, 4, 32, 16, 128, 64, 512, 256, 2048, 1024, 8192, 4096, 32768, 16384, 131072, 65536, 524288, 262144, 2097152, 1048576, 8388608, 4194304, 33554432, 16777216, 134217728, 67108864, 536870912, 268435456, 2147483648, 1073741824
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OFFSET
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0,1
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FORMULA
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O.g.f.: [ -5/(2x-1)+3/(2x+1)]/4. a(n) = [5*2^n+3*(-2)^n]/4. a(2n)=2*A000302(n). a(2n+1)=A000302(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), corrected Apr 14 2008
a(n)=(5/4)*2^n+(3/4)*(-2)^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 06 2008
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CROSSREFS
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Cf. A097163, A097164.
Sequence in context: A104988 A136225 A089460 this_sequence A136230 A004732 A011244
Adjacent sequences: A135517 A135518 A135519 this_sequence A135521 A135522 A135523
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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), Feb 19 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2008
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