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Search: id:A075111
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| A075111 |
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a(n)=Sum((-1)^(i+Floor(n/2))T(2i+e),(i=0,..,Floor(n/2))), where T(n) are tribonacci numbers (A000073) and e=(1/2)(1-(-1)^n). |
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+0
2
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| 0, 1, 1, 1, 3, 6, 10, 18, 34, 63, 115, 211, 389, 716, 1316, 2420, 4452, 8189, 15061, 27701, 50951, 93714, 172366, 317030, 583110, 1072507, 1972647, 3628263, 6673417, 12274328, 22576008, 41523752, 76374088, 140473849, 258371689
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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a(n) is the convolution of T(n) with the sequence (1,0,-1,0,1,0,-1,0,....) A056594.
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FORMULA
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a(n)=a(n-1)+2a(n-3)+a(n-4)+a(n-5), a(0)=0, a(1)=1, a(2)=1, a(3)=1, a(4)=3. G.f.: x/(1 - x - 2*x^3 - x^4 - x^5).
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MATHEMATICA
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CoefficientList[Series[x/(1 - x - 2*x^3 - x^4 - x^5), {x, 0, 40}], x]
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CROSSREFS
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Cf. A000073, A056594, A074662, A074677, A074678.
Sequence in context: A092263 A076251 A029864 this_sequence A080014 A132274 A091714
Adjacent sequences: A075108 A075109 A075110 this_sequence A075112 A075113 A075114
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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 01 2002
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