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A320595 Number of partitions of n with seven parts in which no part occurs more than twice. 2

%I #4 Oct 16 2018 16:46:09

%S 1,2,3,6,9,14,21,30,41,57,75,99,129,165,207,261,322,396,483,585,701,

%T 840,995,1176,1382,1617,1880,2183,2518,2898,3322,3797,4321,4911,5556,

%U 6275,7066,7939,8892,9947,11092,12350,13719,15214,16832,18601,20507,22580

%N Number of partitions of n with seven parts in which no part occurs more than twice.

%H Alois P. Heinz, <a href="/A320595/b320595.txt">Table of n, a(n) for n = 16..10000</a>

%F G.f.: -(x^12-x^10-x^8-x^7+x^3+x+1)*x^16 / ((x^2-x+1) *(x^4+x^3+x^2+x+1) *(x^6+x^5+x^4+x^3+x^2+x+1) *(x^2+1) *(x^2+x+1)^2 *(x+1)^3 *(x-1)^7).

%Y Column k=7 of A209318.

%K nonn,easy

%O 16,2

%A _Alois P. Heinz_, Oct 16 2018

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