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Search: id:A033192
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| A033192 |
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Binomial(fibonacci(k) + 1, 2). |
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+0
4
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| 1, 1, 3, 6, 15, 36, 91, 231, 595, 1540, 4005, 10440, 27261, 71253, 186355, 487578, 1276003, 3339820, 8742471, 22885995, 59912931, 156848616, 410626153, 1075018896, 2814412825, 7368190921, 19290113571
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OFFSET
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0,3
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FORMULA
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G.f.: (x^3-x^2-2x+1)/[(1+x)(1-3x+x^2)(1-x-x^2)].
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MAPLE
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a:= proc(n) 1+ (Matrix ([[1, 1], [1, 0]])^n)[1, 1]; %*(%-1)/2 end: seq (a(n), n=0..26); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 06 2008]
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CROSSREFS
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Cf. A033191.
Sequence in context: A113225 A017924 A052827 this_sequence A005043 A099323 A058534
Adjacent sequences: A033189 A033190 A033191 this_sequence A033193 A033194 A033195
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KEYWORD
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nonn
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AUTHOR
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Simon Norton (simon(AT)dpmms.cam.ac.uk)
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