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A156719
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144n^2 - 127n + 28.
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1
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45, 350, 943, 1824, 2993, 4450, 6195, 8228, 10549, 13158, 16055, 19240, 22713, 26474, 30523, 34860, 39485, 44398, 49599, 55088, 60865, 66930, 73283, 79924, 86853, 94070, 101575, 109368, 117449, 125818, 134475, 143420, 152653
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 576*a(n) + 1 = (288*n - 127)^2. - Vincenzo Librandi, Feb 09 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
| a(n) = 3*a(n-1) -3*a(n-2) +a(n-3).
G.f.: x*(-45-215*x-28*x^2)/(x-1)^3.
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MATHEMATICA
| LinearRecurrence[{3, -3, 1}, {45, 350, 943}, 40]
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PROG
| (MAGMA) I:=[45, 350, 943]; [n le 3 select I[n] else 3*Self(n-1)-3*Self(n-2)+1*Self(n-3): n in [1..40]];
(PARI) a(n)=144*n^2-127*n+28 \\ Charles R Greathouse IV, Dec 23 2011
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CROSSREFS
| Sequence in context: A093761 A073873 A129153 * A155015 A179795 A036495
Adjacent sequences: A156716 A156717 A156718 * A156720 A156721 A156722
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 15 2009
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