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#22 by Charles R Greathouse IV at Fri Jun 19 11:19:41 EDT 2015
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<a href="/index/Rec#order_02">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (10,-1).
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Discussion
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| Fri Jun 19
| 11:19
| OEIS Server: https://oeis.org/edit/global/2446
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#21 by Alois P. Heinz at Mon Jun 15 14:27:19 EDT 2015
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#20 by Colin Barker at Mon Jun 15 13:50:16 EDT 2015
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#19 by Colin Barker at Mon Jun 15 13:50:05 EDT 2015
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| COMMENTS
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a(n)^2 - 24*b(n)^2 = 25, with the companion sequence b(n)= ) = A077249(n).
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| FORMULA
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a(n)= ) = 10*a(n-1)- a(n-2), a(-1) := )=7, a(0)=11.
a(n)= ) = 2*T(n+1, 5)+T(n, 5), with T(n, x) Chebyshev's polynomials of the first kind, A053120. T(n, 5)= A001079(n).
a(n)= ) = sqrt(25 + 24*A077249(n)^2).
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#18 by Colin Barker at Mon Jun 15 13:40:46 EDT 2015
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<Colin Barker, <a href="/indexA077250/Recb077250.txt">IndexTable entriesof n, a(n) for linear recurrences with constant coefficientsn = 0..1000</a>, signature (10,-1).>
<a href="/index/Rec#order_02">Index to sequences with linear recurrences with constant coefficients</a>, signature (10,-1).
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| PROG
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(PARI) Vec((11-7*x)/(1-10*x+x^2) + O(x^30)) \\ Colin Barker, Jun 15 2015
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| STATUS
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approved
editing
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#17 by Charles R Greathouse IV at Sat Jun 13 00:50:47 EDT 2015
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<a href="/index/Rec">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (10,-1).
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Discussion
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| Sat Jun 13
| 00:50
| OEIS Server: https://oeis.org/edit/global/2439
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#16 by Charles R Greathouse IV at Fri Jun 12 15:25:14 EDT 2015
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<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (10,-1).
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Discussion
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| Fri Jun 12
| 15:25
| OEIS Server: https://oeis.org/edit/global/2436
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#15 by Charles R Greathouse IV at Thu Nov 21 13:07:13 EST 2013
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| MATHEMATICA
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CoefficientList[Series[(11 - 7 z)/(z^2 - 10 z + 1), {z, 0, 200}], z] (* From ] (* _Vladimir Joseph Stephan Orlovsky, _, Jun 11 2011 *)
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Discussion
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| Thu Nov 21
| 13:07
| OEIS Server: https://oeis.org/edit/global/2063
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#14 by Charles R Greathouse IV at Mon May 13 01:48:15 EDT 2013
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| PROG
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(PARI) a(n)= 2*polchebyshev(n+1, 1, 5)+polchebyshev(n, 1, 5) \\ ) \\ _Charles R Greathouse IV, _, Jun 11 2011
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Discussion
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| Mon May 13
| 01:48
| OEIS Server: https://oeis.org/edit/global/1914
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#13 by Russ Cox at Sat Mar 31 13:20:08 EDT 2012
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| AUTHOR
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_Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), _, Nov 08 2002
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Discussion
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| Sat Mar 31
| 13:20
| OEIS Server: https://oeis.org/edit/global/878
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