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A137199
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a(n)=a(n-1)+3a(n-2)+a(n-3).
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0
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1, 1, 1, 5, 9, 25, 57, 141, 337, 817, 1969, 4757, 11481, 27721, 66921, 161565, 390049, 941665, 2273377, 5488421, 13250217, 31988857, 77227929, 186444717, 450117361, 1086679441, 2623476241, 6333631925, 15290740089, 36915112105, 89120964297
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OFFSET
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0,4
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LINKS
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FORMULA
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O.g.f.: (-1+3*x^2)/{(1+x)(x^2+2*x-1)} . a(n) = (-1)^(n+1)+2*A000129(n-1) if n>=1. - R. J. Mathar, Mar 17 2008
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MATHEMATICA
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LinearRecurrence[{1, 3, 1}, {1, 1, 1}, 40] (* Harvey P. Dale, Feb 27 2020 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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