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A277346 Maximal coefficient among squares of the polynomials in row n of the triangle of q-binomial coefficients. 0
1, 1, 2, 3, 8, 16, 48, 119, 390, 1070, 3656, 10762, 37834, 116546, 417540, 1330923, 4836452, 15823388, 58130756, 194168612, 719541996, 2444224858, 9121965276, 31422225930, 117959864244, 411141476444, 1551101290792, 5460849893348, 20689450250926, 73474839110524 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

LINKS

Table of n, a(n) for n=0..29.

Eric W. Weisstein, q-Binomial Coefficient.

Wikipedia, q-binomial.

MATHEMATICA

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

CROSSREFS

Cf. A277218, A022166.

Sequence in context: A051573 A292853 A204516 * A005648 A113947 A102008

Adjacent sequences:  A277343 A277344 A277345 * A277347 A277348 A277349

KEYWORD

nonn

AUTHOR

Vladimir Reshetnikov, Oct 09 2016

STATUS

approved

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Last modified December 8 01:46 EST 2019. Contains 329850 sequences. (Running on oeis4.)