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#19 by Charles R Greathouse IV at Thu Sep 08 08:45:46 EDT 2022
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(MAGMAMagma) [ n le 2 select 11*n-10 else 20*Self(n-1)-98*Self(n-2): n in [1..18] ];
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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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#18 by OEIS Server at Sat Dec 24 09:43:19 EST 2016
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| LINKS
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G. C. Greubel, <a href="/A163448/b163448_1.txt">Table of n, a(n) for n = 0..940</a> (first 100 terms from Vincenzo Librandi)
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#17 by Joerg Arndt at Sat Dec 24 09:43:19 EST 2016
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Discussion
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| Sat Dec 24
| 09:43
| OEIS Server: Installed new b-file as b163448.txt. Old b-file is now b163448_1.txt.
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#16 by Michel Marcus at Sat Dec 24 02:31:35 EST 2016
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#15 by Joerg Arndt at Sat Dec 24 01:54:44 EST 2016
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#14 by Joerg Arndt at Sat Dec 24 01:54:41 EST 2016
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| LINKS
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G. C. Greubel, <a href="/A163448/b163448_1.txt">Table of n, a(n) for n = 0..940</a>[The > (first 100 terms computed byfrom Vincenzo Librandi; Terms 101 onward by G. C. Greubel, Dec 24 2016])
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| STATUS
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proposed
editing
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#13 by Jon E. Schoenfield at Sat Dec 24 01:10:50 EST 2016
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#12 by Jon E. Schoenfield at Sat Dec 24 01:10:47 EST 2016
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a(n)=() = (31*(10-Sqrt[sqrt(2])^))^n- - 41*Sqrt[sqrt(2]*()*(10-Sqrt[sqrt(2])^))^n+ + 49*(10+Sqrt[sqrt(2])^))^n+ + 49*Sqrt[sqrt(2]*()*(10+Sqrt[sqrt(2])^))^n)/(98*(10+Sqrt[sqrt(2])). - _))). - _Harvey P. Dale_, Nov 14 2011
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Cf. A163447, A163403, A163447.
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proposed
editing
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#11 by G. C. Greubel at Sat Dec 24 00:44:18 EST 2016
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#10 by G. C. Greubel at Sat Dec 24 00:43:34 EST 2016
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| NAME
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a(n) = 20*a(n-1)-) - 98*a(n-2) for n > 1; a(0) = 1, a(1) = 12.
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| LINKS
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Vincenzo LibrandiG. C. Greubel, <a href="/A163448/b163448_1.txt">Table of n, a(n) for n = 0..100940</a>>[The first 100 terms computed by Vincenzo Librandi; Terms 101 onward by G. C. Greubel, Dec 24 2016]
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| FORMULA
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a(n) = ((1+sqrt(2))*(10+sqrt(2))^n+( + (1-sqrt(2))*(10-sqrt(2))^n)/2.
a(n)=(31*(10-Sqrt[2])^n-41*Sqrt[2]*(10-Sqrt[2])^n+49*(10+Sqrt[2])^n+ 49*Sqrt[2]*(10+Sqrt[2])^n)/(98*(10+Sqrt[2])) [From ])). - _Harvey P. Dale, _, Nov 14 2011]
E.g.f.: exp(10*x)*( cosh(sqrt(2)*x) + sqrt(2)*sinh(sqrt(2)*x) ). - G. C. Greubel, Dec 24 2016
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| PROG
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(PARI) Vec((1-8*x)/(1-20*x+98*x^2) + O(x^50)) \\ G. C. Greubel, Dec 24 2016
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| STATUS
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approved
editing
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