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1, 2, 7, 24, 77, 238, 723, 2180, 6553, 19674, 59039, 177136, 531429, 1594310, 4782955, 14348892, 43046705, 129140146, 387420471, 1162261448, 3486784381, 10460353182, 31381059587, 94143178804, 282429536457, 847288609418
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refs;
listen;
history;
text;
internal format)
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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 (5,-7,3).
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FORMULA
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G.f.: (1-3*x+4*x^2)/((1-3*x)*(1-x)^2). - Vincenzo Librandi, Mar 06 2013
a(n) = 5*a(n-1)-7*a(n-2)+3*a(n-3). - Vincenzo Librandi, Mar 06 2013
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MATHEMATICA
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Table[3^n - n, {n, 0, 40}] (* or *) CoefficientList[Series[(1 - 3 x + 4 x^2)/((1 - 3 x)(1 - x)^2), {x, 0, 30}], x] (* Vincenzo Librandi, Mar 06 2013 *)
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PROG
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(MAGMA) [3^n - n: n in [0..35]]; // Vincenzo Librandi, May 13 2011
(MAGMA) I:=[1, 2, 7]; [n le 3 select I[n] else 5*Self(n-1)-7*Self(n-2)+3*Self(n-3): n in [1..30]]; // Vincenzo Librandi, Mar 06 2013
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CROSSREFS
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Cf. A000325, A024050.
Sequence in context: A054128 A082047 A129020 * A027122 A132788 A109682
Adjacent sequences: A024021 A024022 A024023 * A024025 A024026 A024027
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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