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A277346 Maximal coefficient among squares of the polynomials in row n of the triangle of q-binomial coefficients. 0

%I

%S 1,1,2,3,8,16,48,119,390,1070,3656,10762,37834,116546,417540,1330923,

%T 4836452,15823388,58130756,194168612,719541996,2444224858,9121965276,

%U 31422225930,117959864244,411141476444,1551101290792,5460849893348,20689450250926,73474839110524

%N Maximal coefficient among squares of the polynomials in row n of the triangle of q-binomial coefficients.

%C q-binomial coefficients (a.k.a. Gaussian binomial coefficients) are polynomials in q with integer coefficients.

%H Eric W. Weisstein, <a href="http://mathworld.wolfram.com/q-BinomialCoefficient.html">q-Binomial Coefficient</a>.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Q-binomial">q-binomial</a>.

%t Table[Max[Table[Max[CoefficientList[FunctionExpand[QBinomial[n, k, q]^2], q]], {k, 0, n}]], {n, 0, 30}]

%Y Cf. A277218, A022166.

%K nonn

%O 0,3

%A _Vladimir Reshetnikov_, Oct 09 2016

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Last modified January 29 04:46 EST 2020. Contains 331335 sequences. (Running on oeis4.)