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#28 by Charles R Greathouse IV at Thu Sep 08 08:45:15 EDT 2022
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| PROG
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(MAGMAMagma) I:=[1, 4, 20]; [n le 3 select I[n] else 4*Self(n-1) + 4*Self(n-2) - Self(n-3): n in [1..30]]; // G. C. Greubel, Dec 31 2017
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Discussion
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| Thu Sep 08
| 08:45
| OEIS Server: https://oeis.org/edit/global/2944
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#27 by N. J. A. Sloane at Tue Jun 02 22:27:40 EDT 2020
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#26 by N. J. A. Sloane at Tue Jun 02 22:27:38 EDT 2020
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| REFERENCES
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R. C. Alperin, A nonlinear recurrence and its relations to Chebyshev polynomials, Fib. Q., 58:2 (2020), 140-142.
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| STATUS
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approved
editing
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#25 by Susanna Cuyler at Mon Jan 01 04:19:44 EST 2018
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#24 by Michel Marcus at Mon Jan 01 02:10:18 EST 2018
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#23 by Michel Marcus at Mon Jan 01 02:10:13 EST 2018
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(MAGMA) I:=[1, 4, 20]; [n le 3 select I[n] else 4*Self(n-1) + 4*Self(n-2) - SefSelf(n-3): n in [1..30]]; // G. C. Greubel, Dec 31 2017
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| STATUS
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proposed
editing
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#22 by G. C. Greubel at Sun Dec 31 18:12:34 EST 2017
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#21 by G. C. Greubel at Sun Dec 31 18:11:43 EST 2017
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| FORMULA
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a(n) = (1/7) [)*[A030221(n+2) - A003501(n+2) + (-1)^n].
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| MATHEMATICA
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CoefficientList[Series[1/((1+x)*(1-5*x+x^2)), {x, 0, 50}], x] (* or *) LinearRecurrence[{4, 4, -1}, {1, 4, 20}, 30] (* G. C. Greubel, Dec 31 2017 *)
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| PROG
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(MAGMA) I:=[1, 4, 20]; [n le 3 select I[n] else 4*Self(n-1) + 4*Self(n-2) - Sef(n-3): n in [1..30]]; // G. C. Greubel, Dec 31 2017
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| STATUS
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approved
editing
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#20 by Alois P. Heinz at Wed Nov 02 11:57:12 EDT 2016
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#19 by Colin Barker at Wed Nov 02 11:28:50 EDT 2016
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