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A326588 Sum of all the parts in the partitions of n into 10 parts.

%I A326588 #9 Jul 14 2019 06:31:31
%S A326588 0,0,0,0,0,0,0,0,0,0,10,11,24,39,70,105,176,255,396,570,840,1155,1650,
%T A326588 2231,3072,4100,5512,7209,9520,12267,15900,20243,25824,32472,40936,
%U A326588 50925,63396,78144,96292,117585,143600,173922,210546,253184,304128,363150
%N A326588 Sum of all the parts in the partitions of n into 10 parts.
%H A326588 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A326588 a(n) = 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)} 1.
%F A326588 a(n) = n * A026816(n).
%F A326588 a(n) = A326589(n) + A326590(n) + A326591(n) + A326592(n) + A326593(n) + A326594(n) + A326595(n) + A326596(n) + A326597(n) + A326598(n).
%t A326588 Table[n * Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[1, {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 A326588 Cf. A026816, A326589, A326590, A326591, A326592, A326593, A326594, A326595, A326596, A326597, A326598.
%K A326588 nonn
%O A326588 0,11
%A A326588 _Wesley Ivan Hurt_, Jul 13 2019