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0, 6, 15, 34, 85, 236, 695, 2094, 6345, 19216, 58075, 175154, 527405, 1586196, 4766655, 14316214, 42981265, 129009176, 387158435, 1161737274, 3485735925, 10458256156, 31376865415, 94134790334, 282412759385, 847255055136
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history;
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (7,-17,17,-6).
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FORMULA
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G.f.: x*(6-27*x+31*x^2)/((1-2*x)*(1-3*x)*(1-x)^2). - Vincenzo Librandi, Feb 24 2013
a(n) = 7*a(n-1)-17*a(n-2)+17*a(n-3)-6*a(n-4). - Vincenzo Librandi, Feb 24 2013
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MATHEMATICA
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CoefficientList[Series[x (6 - 27 x + 31 x^2)/((1-2 x) (1-3 x) (1 - x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Feb 24 2013 *)
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PROG
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(MAGMA) [5*n+3^n-2^n: n in [0..30]] /* or */ I:=[0, 6, 15, 34]; [n le 4 select I[n] else 7*Self(n-1)-17*Self(n-2)+17*Self(n-3)-6*Self(n-4): n in [1..30]]; // Vincenzo Librandi, Feb 24 2013
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CROSSREFS
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Cf. A001047, A007689.
Sequence in context: A213779 A051410 A083052 * A030661 A049728 A038666
Adjacent sequences: A120846 A120847 A120848 * A120850 A120851 A120852
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KEYWORD
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nonn,easy
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AUTHOR
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Mohammad K. Azarian, Aug 18 2006
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EXTENSIONS
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Edited by Ray Chandler, Sep 06 2006
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STATUS
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approved
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