Revision History forA020541
(Bold, blue-underlined text is anaddition;
faded, red-underlined text is adeletion.)
Showing entries 1-10
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#23byCharles R Greathouse IVat Sat Jun 13 00:48:54 EDT 2015
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<a href= "/index/Rec#order_03" >Indextosequenceswithentriesforlinear recurrences with constant coefficients</a>, signature (21,-84,64).
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Discussion
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Sat Jun 13
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| OEIS Server:https://oeis.org/edit/global/2439
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#22byN. J. A. Sloaneat Sun May 03 10:07:17 EDT 2015
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#21byJoerg Arndtat Sun May 03 09:55:19 EDT 2015
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#20byMichel Marcusat Sun May 03 08:59:55 EDT 2015
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#19byMichel Marcusat Sun May 03 08:59:43 EDT 2015
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| PROG
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(PARI) a(n) = polchebyshev(4, 2, 2^n) \\Michel Marcus,May 03 2015
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| STATUS
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proposed
editing
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#18byColin Barkerat Sun May 03 08:33:39 EDT 2015
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#17byColin Barkerat Sun May 03 08:32:46 EDT 2015
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| DATA
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5, 209, 3905, 64769, 1045505, 16764929, 268386305, 4294770689, 68718690305, 1099508482049, 17592173461505, 281474926379009, 4503599426043905, 72057593232621569, 1152921501385621505,18446744060824649729,295147905127813218305,4722366482663486783489
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| LINKS
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Colin Barker, <a href= "/A020541/b020541.txt ">Table of n, a(n) for n = 0..829</a>
<a href= "/index/Rec#order_03" >Index to sequences with linear recurrences with constant coefficients</a>, signature (21,-84,64).
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a(n) = 21*a(n-1) - 84*a(n-2) + 64*a(n-3) for n>2. -Colin Barker,May 03 2015
G.f.: (64*x^2-104*x-5) / ((x-1)*(4*x-1)*(16*x-1)). -Colin Barker,May 03 2015
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| PROG
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(PARI) Vec((64*x^2-104*x-5)/((x-1)*(4*x-1)*(16*x-1)) + O(x^100)) \\Colin Barker,May 03 2015
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| KEYWORD
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nonn,easy
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| STATUS
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approved
editing
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#16byAlois P. Heinzat Sun Dec 28 15:53:43 EST 2014
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#15byJon E. Schoenfieldat Sun Dec 28 15:50:04 EST 2014
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#14byJon E. Schoenfieldat Sun Dec 28 15:50:01 EST 2014
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| NAME
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a(n)=4th Chebyshev polynomial (second kind) evaluated atpowersof2^n.
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| FORMULA
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a(n)=16^(n+1) - 3*4^(n+1) + 1.
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| MATHEMATICA
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Table[ChebyshevU[4, 2^n], {n, 1, 40}][From_(*_Vladimir Joseph Stephan Orlovsky_, Nov 03 2009]*)
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approved
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