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Search: id:A122491
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| A122491 |
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a(n) = n*Fib(n) - sum_{i=0..n} Fib(i). |
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+0
1
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| 0, 0, 0, 2, 5, 13, 28, 58, 114, 218, 407, 747, 1352, 2420, 4292, 7554, 13209, 22969, 39748, 68494, 117590, 201210, 343275, 584087, 991440, 1679208, 2838408, 4789058, 8066669, 13566373, 22782892, 38209762, 64003002, 107083610, 178967807, 298803459, 498404504
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n) = n*Fibonacci(n) - Fibonacci(n+2) + 1 - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 22 2008
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EXAMPLE
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a(5) = 13 because Fib(5) = 5, times 5 = 25 and subtract sum(Fib(5))=12 to get 13
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MAPLE
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with(combinat, fibonacci): for i from 1 to 30 do i*fibonacci(i) - sum(fibonacci(k), k=0..i); end do;
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MATHEMATICA
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Table[n*Fibonacci[n] - Fibonacci[n + 2] + 1, {n, 0, 40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 22 2008
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CROSSREFS
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Cf. A000045.
Sequence in context: A065301 A126656 A026522 this_sequence A002559 A049097 A045366
Adjacent sequences: A122488 A122489 A122490 this_sequence A122492 A122493 A122494
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KEYWORD
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nonn
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AUTHOR
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Ben Thurston (benthurston27(AT)yahoo.com), Sep 16 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 17 2006
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