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Search: id:A094586
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| A094586 |
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Central numbers of the triangle T of all positive differences of distinct Fibonacci numbers. |
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+0
2
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| 1, 5, 16, 47, 131, 356, 953, 2529, 6676, 17567, 46135, 121016, 317201, 831053, 2176712, 5700303, 14926171, 39081404, 102323209, 267896585, 701380076, 1836265535, 4807451951, 12586147632, 32951083681, 86267253461, 225850919488
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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As T is also the triangle of sums of consecutive distinct Fibonacci numbers, a(n) is such a sum, namely F(n+1)+F(n+2)+...+F(2n).
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FORMULA
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a(n)=F(2n+2)-F(n+2)=T(2n-1, n), T as in A094585.
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EXAMPLE
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a(4)=F(10)-F(6)=55-8=47.
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MATHEMATICA
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Table[Sum[Fibonacci[n + i], {i, 1, n}], {n, 1, 27}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]
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CROSSREFS
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Cf. A000045, A094585.
Sequence in context: A055552 A086750 A086749 this_sequence A140336 A166868 A055144
Adjacent sequences: A094583 A094584 A094585 this_sequence A094587 A094588 A094589
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), May 13 2004
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