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A017018
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a(n) = (7*n + 3)^2.
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1
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9, 100, 289, 576, 961, 1444, 2025, 2704, 3481, 4356, 5329, 6400, 7569, 8836, 10201, 11664, 13225, 14884, 16641, 18496, 20449, 22500, 24649, 26896, 29241, 31684, 34225, 36864, 39601, 42436, 45369, 48400
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (3, -3, 1).
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FORMULA
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a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3); a(0)=9, a(1)=100, a(2)=289. - Harvey P. Dale, Jul 19 2014
G.f.: (-16*x^2 - 73*x - 9)/(x-1)^3. - Harvey P. Dale, Jul 19 2014
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MATHEMATICA
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(7*Range[0, 40]+3)^2 (* or *) LinearRecurrence[{3, -3, 1}, {9, 100, 289}, 40] (* Harvey P. Dale, Jul 19 2014 *)
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PROG
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(Magma) [(7*n+3)^2: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
(PARI) a(n)=(7*n+3)^2 \\ Charles R Greathouse IV, Jun 17 2017
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CROSSREFS
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Cf. A017017.
Sequence in context: A077710 A088780 A132544 * A027769 A266098 A065736
Adjacent sequences: A017015 A017016 A017017 * A017019 A017020 A017021
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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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