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224, 898, 2022, 3596, 5620, 8094, 11018, 14392, 18216, 22490, 27214, 32388, 38012, 44086, 50610, 57584, 65008, 72882, 81206, 89980, 99204, 108878, 119002, 129576, 140600, 152074, 163998, 176372, 189196, 202470, 216194, 230368, 244992, 260066
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 900*a(n) + 1 = (450*n - 1)^2. - Vincenzo Librandi, Feb 08 2012
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| G.f.: x*(-224-226*x)/(x-1)^3. - Vincenzo Librandi, Feb 08 2012
a(n) = 3*a(n-1) -3*a(n-2) +a(n-3). - Vincenzo Librandi, Feb 08 2012
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MATHEMATICA
| LinearRecurrence[{3, -3, 1}, {224, 898, 2022}, 50] (* Vincenzo Librandi, Feb 08 2012
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PROG
| (PARI) a(n)=225*n^2-n \\ Charles R Greathouse IV, Dec 23 2011
(MAGMA) I:=[224, 898, 2022]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..50]]; - Vincenzo Librandi, Feb 08 2012
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CROSSREFS
| Sequence in context: A094209 A158227 A061524 * A146745 A015048 A032802
Adjacent sequences: A156810 A156811 A156812 * A156814 A156815 A156816
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 16 2009
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