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%I #16 Mar 27 2022 03:07:38
%S 2,1,2,3,4,5,9,14,20,30,50,77,112,182,294,450,672,1122,1782,2717,4290,
%T 7007,11011,16744,27456,44200,68952,107406,176358,281010,436050,
%U 700910,1136960,1797818,2778446,4576264,7354710,11560835,18349630,29910465,47720400
%N Max coefficient in n-th Lucas polynomial.
%H Vaclav Kotesovec, <a href="/A277282/b277282.txt">Table of n, a(n) for n = 0..4000</a>
%H Vaclav Kotesovec, <a href="/A277282/a277282.jpg">Plot of a(n) / (goldenratio^n / sqrt(n)) for n = 1..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LucasPolynomial.html">Lucas Polynomial</a>.
%e For n = 6, L_6(x) = x^6 + 6*x^4 + 9*x^2 + 2, so a(6) = 9.
%t Table[Max@CoefficientList[LucasL[n, x], x], {n, 0, 40}]
%Y Cf. A114525, A073028.
%K nonn
%O 0,1
%A _Vladimir Reshetnikov_, Oct 08 2016
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