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A075116
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Binomial transform of A073817: a(n)=Sum(Binomial(n,k)*A073817(k),(k=0,..,n)).
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5
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4, 5, 9, 23, 69, 210, 627, 1846, 5405, 15809, 46254, 135382, 396327, 1160294, 3396892, 9944688, 29113741, 85232259, 249522603, 730492701, 2138562494, 6260774221, 18328804756, 53658712275, 157089206159, 459888386910
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n)=5a(n-1)-8a(n-2)+6a(n-3)-a(n-4), a(0)=4, a(1)=5, a(2)=9, a(3)=23. G.f.: (4-15*z+16*z^2-6*z^3)/(1-5*z+8*z^2-6*z^3+z^4).
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MATHEMATICA
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CoefficientList[Series[(4-15*z+16*z^2-6*z^3)/(1-5*z+8*z^2-6*z^3+z^4), {z, 0, 30}], z]
LinearRecurrence[{5, -8, 6, -1}, {4, 5, 9, 23}, 30] (* Harvey P. Dale, Jun 24 2017 *)
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CROSSREFS
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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), Sep 02 2002
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STATUS
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approved
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