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A156719 a(n) = 144*n^2 - 127*n + 28. 1
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; text; internal format)
OFFSET

1,1

COMMENTS

576*a(n) + 1 = (288*n - 127)^2. - Vincenzo Librandi, Feb 09 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

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.

MATHEMATICA

LinearRecurrence[{3, -3, 1}, {45, 350, 943}, 40]

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

CROSSREFS

Sequence in context: A073873 A272850 A129153 * A228059 A155015 A179795

Adjacent sequences:  A156716 A156717 A156718 * A156720 A156721 A156722

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Feb 15 2009

STATUS

approved

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Last modified July 26 13:40 EDT 2021. Contains 346294 sequences. (Running on oeis4.)