

A277346


Maximal coefficient among squares of the polynomials in row n of the triangle of qbinomial 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
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OFFSET

0,3


COMMENTS

qbinomial 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, qBinomial Coefficient.
Wikipedia, qbinomial.


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



