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Search: id:A056015
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| 1, 6, 31, 152, 730, 3480, 16542, 78544, 372779, 1768958, 8393741, 39827472, 188975588, 896658432, 4254492236, 20186832928, 95783024581, 454473817254, 2156399264651, 10231739547432, 48547824776670, 230350985294584
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OFFSET
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5,2
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COMMENT
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With a(0)=0, a(1)=1, a(2)=1, a(3)=2, a(4)=4, a(5)=7, this recurrence produces a(n)=A000073(n) (tribonacci numbers).
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FORMULA
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a(n)=6*a(n-1)-5*a(n-2)-4*a(n-3)-3*a(n-4)+2*a(n-5)+a(n-6), a(0)=...=a(4)=0, a(5)=1.
O.g.f.: -x^5/((x^3+x^2-5*x+1)*(x^3+x^2+x-1)). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 23 2007
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CROSSREFS
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Cf. A000073, A056014.
Sequence in context: A012714 A094951 A099621 this_sequence A128740 A026705 A003463
Adjacent sequences: A056012 A056013 A056014 this_sequence A056016 A056017 A056018
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KEYWORD
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nonn
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AUTHOR
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Asher Auel (asher.auel(AT)reed.edu) Jun 06 2000.
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