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%I #6 Jul 04 2019 20:38:04
%S 0,0,0,0,0,0,0,0,1,1,2,3,5,7,11,15,23,30,42,55,75,96,127,161,209,260,
%T 330,407,509,621,765,925,1128,1350,1627,1934,2310,2725,3227,3782,4447,
%U 5178,6044,7000,8122,9355,10791,12370,14196,16196,18494,21012,23887
%N Sum of the smallest parts in the partitions of n into 8 parts.
%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F a(n) = Sum_{p=1..floor(n/8)} Sum_{o=p..floor((n-p)/7)} Sum_{m=o..floor((n-o-p)/6)} Sum_{l=m..floor((n-m-o-p)/5)} Sum_{k=l..floor((n-l-m-o-p)/4)} Sum_{j=k..floor((n-k-l-m-o-p)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p)/2)} p.
%F a(n) = A308989(n) - A308991(n) - A308992(n) - A308994(n) - A308995(n) - A308996(n) - A308997(n) - A308998(n).
%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[p, {i, j, Floor[(n - j - k - l - m - o - p)/2]}], {j, k, Floor[(n - k - l - m - o - p)/3]}], {k, l, Floor[(n - l - m - o - p)/4]}], {l, m, Floor[(n - m - o - p)/5]}], {m, o, Floor[(n - o - p)/6]}], {o, p, Floor[(n - p)/7]}], {p, Floor[n/8]}], {n, 0, 50}]
%Y Cf. A026814, A308989, A308991, A308992, A308994, A308995, A308996, A308997, A308998.
%K nonn
%O 0,11
%A _Wesley Ivan Hurt_, Jul 04 2019
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