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a(n) has generating function 1/((1-x)^k*(1-x^2)^(k*(k-1)/2)) for k=6.
4

%I #10 Feb 08 2017 19:17:08

%S 1,6,36,146,561,1812,5552,15372,40677,100562,239316,541926,1188341,

%T 2507736,5149056,10251560,19935135,37790610,70187260,127580310,

%U 227779695,399218820,688680720,1169024220,1956567795,3228473430

%N a(n) has generating function 1/((1-x)^k*(1-x^2)^(k*(k-1)/2)) for k=6.

%H Alois P. Heinz, <a href="/A181478/b181478.txt">Table of n, a(n) for n = 0..1000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Schur_polynomial">Schur Polynomial</a>

%t CoefficientList[Series[1/(1-x)^6/(1-x^2)^15,{x,0,16}],x]; see also A181477.

%Y Column k=6 of A210391. - _Alois P. Heinz_, Mar 22 2012

%K nonn,easy

%O 0,2

%A _Wouter Meeussen_, Oct 24 2010