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Search: id:A083334
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| A083334 |
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a(n)=12a(n-2)-25a(n-4). |
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+0
2
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| 1, 6, 17, 47, 179, 414, 1723, 3793, 16201, 35166, 151337, 327167, 1411019, 3046854, 13148803, 28383073, 122510161, 264425526, 1141401857, 2463529487, 10634068259, 22951715694, 99073772683, 213832351153, 923033565721
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OFFSET
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0,2
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COMMENT
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a(n)/A083335(n) converges to sqrt(11)
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FORMULA
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G.f.:(1+6x+5x^2-25x^3)/(1-12x^2+25x^4)
a(n+1) = x^n + (-1)^n(x-2)^n where x = 1 + sqrt(11) then divided by 2^(ceil(.5n)) - Ben Thurston (benthurston27(AT)yahoo.com), Aug 30 2006
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MATHEMATICA
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CoefficientList[Series[(1+6x+5x^2-25x^3)/(1-12x^2+25x^4), {x, 0, 10}], x]
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CROSSREFS
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Sequence in context: A026382 A054492 A128525 this_sequence A088016 A010330 A109311
Adjacent sequences: A083331 A083332 A083333 this_sequence A083335 A083336 A083337
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Apr 26 2003
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