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Search: id:A075194
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| A075194 |
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Binomial transform of pentanacci numbers A074048: a(n)=Sum((-1)^k*Binomial(n,k)*A074048(k),(k=0,..,n)). |
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+0
1
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| 5, 4, 6, 4, 6, 4, 0, -24, -82, -212, -454, -876, -1548, -2544, -3858, -5276, -6050, -4348, 3744, 25768, 75206, 174444, 357858, 673076, 1175972, 1909904, 2851270, 3789508, 4089238, 2255044, -4809280, -22969880, -62544962, -140412180, -281990486, -521513324, -896946156, -1432099056
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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N. J. A. Sloane, Transforms
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FORMULA
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a(n)=4a(n-1)-5a(n-2)+5a(n-4)-4a(n-5), a(0)=5, a(1)=4, a(2)=6, a(3)=4, a(4)=6. G.f.: (5-16x+15x^2-5x^4)/(1-4x+5x^2-5x^4+4x^5).
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MATHEMATICA
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CoefficientList[Series[(5-16x+15x^2-5x^4)/(1-4x+5x^2-5x^4+4x^5), {x, 0, 40}], x]
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CROSSREFS
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Cf. A074048.
Sequence in context: A092426 A070365 A021187 this_sequence A138255 A089687 A011502
Adjacent sequences: A075191 A075192 A075193 this_sequence A075195 A075196 A075197
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KEYWORD
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easy,sign
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Sep 08 2002
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