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%I #8 Jul 14 2019 06:33:00
%S 0,0,0,0,0,0,0,0,0,0,1,2,5,9,17,27,46,69,108,158,234,329,471,645,891,
%T 1198,1614,2125,2808,3637,4718,6029,7699,9709,12243,15265,19013,23473,
%U 28933,35381,43211,52396,63436,76343,91710,109580,130720,155171,183884
%N Sum of the largest parts of the partitions of n into 10 parts.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{r=1..floor(n/10)} Sum_{q=r..floor((n-r)/9)} Sum_{p=q..floor((n-q-r)/8)} Sum_{o=p..floor((n-p-q-r)/7)} Sum_{m=o..floor((n-o-p-q-r)/6)} Sum_{l=m..floor((n-m-o-p-q-r)/5)} Sum_{k=l..floor((n-l-m-o-p-q-r)/4)} Sum_{j=k..floor((n-k-l-m-o-p-q-r)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p-q-r)/2)} (n-i-j-k-l-m-o-p-q-r).
%F a(n) = A326588(n) - A326589(n) - A326590(n) - A326591(n) - A326592(n) - A326593(n) - A326594(n) - A326595(n) - A326596(n) - A326597(n).
%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[(n - i - j - k - l - m - o - p - q - r), {i, j, Floor[(n - j - k - l - m - o - p - q - r)/2]}], {j, k, Floor[(n - k - l - m - o - p - q - r)/3]}], {k, l, Floor[(n - l - m - o - p - q - r)/4]}], {l, m, Floor[(n - m - o - p - q - r)/5]}], {m, o, Floor[(n - o - p - q - r)/6]}], {o, p, Floor[(n - p - q - r)/7]}], {p, q, Floor[(n - q - r)/8]}], {q, r, Floor[(n - r)/9]}], {r, Floor[n/10]}], {n, 0, 50}]
%Y Cf. A026816, A326588, A326589, A326590, A326591, A326592, A326593, A326594, A326595, A326596, A326597.
%K nonn
%O 0,12
%A _Wesley Ivan Hurt_, Jul 13 2019
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