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1, 1, 9, 33, 145, 609, 2585, 10945, 46369, 196417, 832041, 3524577, 14930353, 63245985, 267914297, 1134903169, 4807526977, 20365011073, 86267571273, 365435296161, 1548008755921, 6557470319841, 27777890035289, 117669030460993, 498454011879265, 2111485077978049
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,5,1).
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FORMULA
| a(n) = A141325(3*n) = (-1)^n+A014445(n).
a(n)= +3*a(n-1) +5*a(n-2) +a(n-3). [R. J. Mathar, Dec 17 2010]
G.f.: -(x-1)^2 / ( (1+x)*(x^2+4*x-1) ). [R. J. Mathar, Dec 17 2010]
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MATHEMATICA
| LinearRecurrence[{3, 5, 1}, {1, 1, 9}, 40] (* or *) CoefficientList[Series[ -(x-1)^2/((1+x)(x^2+4x-1)), {x, 0, 40}], x] (* From Harvey P. Dale, June 20 2011 *)
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CROSSREFS
| Sequence in context: A147147 A147154 A147275 * A097804 A146136 A147444
Adjacent sequences: A140410 A140411 A140412 * A140414 A140415 A140416
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Jun 17 2008
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