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%I #5 Jul 10 2019 07:37:55
%S 0,0,0,0,0,0,0,0,0,1,1,2,3,5,7,11,15,23,32,44,59,81,106,141,183,239,
%T 305,392,492,622,775,965,1189,1468,1790,2184,2644,3195,3835,4600,5479,
%U 6523,7722,9125,10733,12611,14744,17218,20030,23264,26925,31120,35845
%N Sum of the eighth largest parts in the partitions of n into 9 parts.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{q=1..floor(n/9)} Sum_{p=q..floor((n-q)/8)} Sum_{o=p..floor((n-p-q)/7)} Sum_{m=o..floor((n-o-p-q)/6)} Sum_{l=m..floor((n-m-o-p-q)/5)} Sum_{k=l..floor((n-l-m-o-p-q)/4)} Sum_{j=k..floor((n-k-l-m-o-p-q)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p-q)/2)} p.
%F a(n) = A326464(n) - A326465(n) - A326467(n) - A326468(n) - A326469(n) - A326470(n) - A326471(n) - A326472(n) - A326473(n).
%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[p, {i, j, Floor[(n - j - k - l - m - o - p - q)/2]}], {j, k, Floor[(n - k - l - m - o - p - q)/3]}], {k, l, Floor[(n - l - m - o - p - q)/4]}], {l, m, Floor[(n - m - o - p - q)/5]}], {m, o, Floor[(n - o - p - q)/6]}], {o, p, Floor[(n - p - q)/7]}], {p, q, Floor[(n - q)/8]}], {q, Floor[n/9]}], {n, 0, 50}]
%Y Cf. A026815, A326464, A326465, A326467, A326468, A326469, A326470, A326471, A326472, A326473.
%K nonn
%O 0,12
%A _Wesley Ivan Hurt_, Jul 10 2019
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