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A308928 Sum of the sixth largest parts in the partitions of n into 7 parts.

%I A308928 #9 Mar 17 2025 04:01:37
%S A308928 0,0,0,0,0,0,0,1,1,2,3,5,7,12,17,24,33,46,61,84,109,144,184,237,298,
%T A308928 379,470,585,719,882,1069,1300,1560,1873,2230,2653,3129,3694,4326,
%U A308928 5063,5892,6848,7917,9147,10513,12071,13804,15765,17935,20389,23088,26118
%N A308928 Sum of the sixth largest parts in the partitions of n into 7 parts.
%H A308928 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A308928 a(n) = Sum_{o=1..floor(n/7)} Sum_{m=o..floor((n-o)/6)} Sum_{l=m..floor((n-m-o)/5)} Sum_{k=l..floor((n-l-m-o)/4)} Sum_{j=k..floor((n-k-l-m-o)/3)} Sum_{i=j..floor((n-j-k-l-m-o)/2)} m.
%F A308928 a(n) = A308926(n) - A308927(n) - A308929(n) - A308930(n) - A308931(n) - A308932(n) - A308933(n).
%t A308928 Table[Sum[Sum[Sum[Sum[Sum[Sum[m, {i, j, Floor[(n - j - k - l - m - o)/2]}], {j, k, Floor[(n - k - l - m - o)/3]}], {k, l, Floor[(n - l - m - o)/4]}], {l, m, Floor[(n - m - o)/5]}], {m, o, Floor[(n - o)/6]}], {o, Floor[n/7]}], {n, 0, 50}]
%Y A308928 Cf. A026813, A308926, A308927, A308929, A308930, A308931, A308932, A308933.
%K A308928 nonn
%O A308928 0,10
%A A308928 _Wesley Ivan Hurt_, Jun 30 2019