%I #8 Jul 10 2019 07:37:23
%S 0,0,0,0,0,0,0,0,0,9,10,22,36,65,98,165,240,374,540,779,1080,1533,
%T 2068,2829,3768,5025,6552,8586,11004,14152,17940,22692,28384,35508,
%U 43894,54215,66420,81178,98496,119340,143560,172446,205968,245444,291060,344565
%N Sum of all the 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) = 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)} 1.
%F a(n) = A326465(n) + A326466(n) + A326467(n) + A326468(n) + A326469(n) + A326470(n) + A326471(n) + A326472(n) + A326473(n).
%t Table[n * Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[1, {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, A326465, A326466, A326467, A326468, A326469, A326470, A326471, A326472, A326473.
%K nonn
%O 0,10
%A _Wesley Ivan Hurt_, Jul 07 2019