A326471 - OEIS

%I #5 Jul 10 2019 07:38:30

%S 0,0,0,0,0,0,0,0,0,1,1,2,4,7,11,19,28,44,65,94,132,190,258,355,478,

%T 640,840,1107,1426,1842,2348,2979,3742,4699,5828,7219,8875,10874,

%U 13231,16072,19380,23330,27932,33347,39626,46999,55465,65332,76659,89742,104684

%N Sum of the third largest parts of the partitions of n into 9 parts.

%H <a href="/index/Par#part">Index entries for sequences related to partitions</a>

%F a(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)} j.

%F a(n) = A326464(n) - A326465(n) - A326466(n) - A326467(n) - A326468(n) - A326469(n) - A326470(n) - A326472(n) - A326473(n).

%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[Sum[j, {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, A326464, A326465, A326466, A326467, A326468, A326469, A326470, A326472, A326473.

%K nonn

%O 0,12

%A _Wesley Ivan Hurt_, Jul 10 2019