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Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n.
(Formerly M1705)
0

%I M1705 #17 Dec 06 2018 14:45:07

%S 1,2,6,36,270,2520,28560,361200,5481000,88565400,1654052400,

%T 32885455680,721400359680,17024709461760,429108154675200,

%U 11721695953968000,333806974560259200,10358856500289897600,331148326165228091520,11429645706428485536000,407641141014720316704000

%N Maximal coefficient in (x + x^2 + x^4 + x^8 + ...)^n.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H S. Lehr, J. Shallit and J. Tromp, <a href="http://dx.doi.org/10.1016/0304-3975(95)00234-0">On the vector space of the automatic reals</a>, Theoret. Comput. Sci. 163 (1996), no. 1-2, 193-210.

%H G. Molteni, <a href="http://dx.doi.org/10.1016/j.jnt.2010.03.002">Cancellation in a short exponential sum</a>, J. Number Theory 130 (2010), no. 9, 2011-2027.

%K nonn

%O 1,2

%A _N. J. A. Sloane_.

%E a(15)-a(21) from _Max Alekseyev_, May 03 2011