Revision History for A027940
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#13 by Charles R Greathouse IV at Thu Sep 08 08:44:49 EDT 2022
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(MAGMAMagma) [Fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630: n in [4..40]]; // G. C. Greubel, Sep 28 2019
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Discussion
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| Thu Sep 08
| 08:44
| OEIS Server: https://oeis.org/edit/global/2944
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#12 by Alois P. Heinz at Sun Sep 29 16:18:51 EDT 2019
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#11 by Alois P. Heinz at Sun Sep 29 16:18:43 EDT 2019
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| DATA
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1, 46, 551, 3785, 18955, 77533, 276408, 895103, 2708322, 7811510, 21791338, 59419294, 159571139, 424302452, 1121168305, 2951121095, 7749900701, 20324325571, 53259796514, 139506540045, 365330860180, 956582678652, 2504546934692, 6557230277964, 17167369784405, 44945172450762
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proposed
editing
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#10 by Jon E. Schoenfield at Sat Sep 28 23:54:57 EDT 2019
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#9 by Jon E. Schoenfield at Sat Sep 28 23:54:53 EDT 2019
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| FORMULA
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a(n) = Fibonacci(2*n+9) - (21420 + + 20571*n + + 9961*n^2 + + 3304*n^3 + + 490*n^4 + + 364*n^5 - - 56*n^6 + + 16*n^7)/630.
G.f.: x^4*(1 + + 35*x + + 98*x^2 + + 14*x^3 - - 19*x^4 - - x^5)/((1-x)^8*(1 - - 3*x + + x^2)). (End)
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proposed
editing
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#8 by Michel Marcus at Sat Sep 28 02:47:36 EDT 2019
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#7 by Michel Marcus at Sat Sep 28 02:47:31 EDT 2019
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| PROG
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(PARI) vector(40, n, my(m=n+3; ); fibonacci(2*m+9) - (21420 +20571*m +9961*m^2 +3304*m^3 +490*m^4 +364*m^5 -56*m^6 +16*m^7)/630) \\ G. C. Greubel, Sep 28 2019
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| KEYWORD
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nonn,easy,changed
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| STATUS
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proposed
editing
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#6 by G. C. Greubel at Sat Sep 28 02:44:01 EDT 2019
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#5 by G. C. Greubel at Sat Sep 28 02:42:25 EDT 2019
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| NAME
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a(n) = T(2n,2*n, n+4), T given by A027935.
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| DATA
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1, 46, 551, 3785, 18955, 77533, 276408, 895103, 2708322, 7811510, 21791338, 59419294, 159571139, 424302452, 1121168305, 2951121095, 7749900701, 20324325571, 53259796514, 139506540045, 365330860180, 956582678652, 2504546934692, 6557230277964, 17167369784405, 44945172450762
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| LINKS
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G. C. Greubel, <a href="/A027940/b027940.txt">Table of n, a(n) for n = 4..1000</a>
<a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (11,-53,148,-266,322,-266,148,-53,11,-1).
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| FORMULA
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From G. C. Greubel, Sep 28 2019: (Start)
a(n) = Fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630.
G.f.: x^4*(1 +35*x +98*x^2 +14*x^3 -19*x^4 -x^5)/((1-x)^8*(1 -3*x +x^2)). (End)
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| MAPLE
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with(combinat); seq(fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630, n=4..40); # G. C. Greubel, Sep 28 2019
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| MATHEMATICA
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Table[Fibonacci[2*n+9] - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630, {n, 4, 40}] (* G. C. Greubel, Sep 28 2019 *)
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| PROG
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(PARI) vector(40, n, m=n+3; fibonacci(2*m+9) - (21420 +20571*m +9961*m^2 +3304*m^3 +490*m^4 +364*m^5 -56*m^6 +16*m^7)/630) \\ G. C. Greubel, Sep 28 2019
(MAGMA) [Fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630: n in [4..40]]; // G. C. Greubel, Sep 28 2019
(Sage) [fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630 for n in (4..40)] # G. C. Greubel, Sep 28 2019
(GAP) List([4..40], n-> Fibonacci(2*n+9) - (21420 +20571*n +9961*n^2 +3304*n^3 +490*n^4 +364*n^5 -56*n^6 +16*n^7)/630 ); # G. C. Greubel, Sep 28 2019
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| CROSSREFS
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Cf. A000045, A027935.
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| EXTENSIONS
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Terms a(23) onward added by G. C. Greubel, Sep 28 2019
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| STATUS
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approved
editing
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#4 by Russ Cox at Fri Mar 30 18:56:15 EDT 2012
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Discussion
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| Fri Mar 30
| 18:56
| OEIS Server: https://oeis.org/edit/global/285
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