(MAGMAMagma) [ 2*n^2+8*n+1: n in [0..50] ];
(MAGMAMagma) [ 2*n^2+8*n+1: n in [0..50] ];
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Pierre Gayet, <a href="/A161532/b161532.txt">Table of n, a(n) for n = 10..10000</a>
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,-3,1).
(PARI) a(n)=2*n^2+8*n+1 \\ Charles R Greathouse IV, Jun 17 2017
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2*a(n) = 2n^2 + 8*n 8n + 1.
The defining formula can be regarded as an approximation and simplification of the expansion / propagation of native hydrophytes on the surface of stagnant waters in orthogonal directions; absence of competition / concurrence and of retrogression is assumed, mortality is taken into account. - ([Translation of a comment in French sent by P. _Pierre Gayet)_]
_Pierre Gayet (gayet.pierre(AT)wanadoo.fr), _, Jun 13 2009
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