A308994 - OEIS

%I #6 Jul 04 2019 20:38:23

%S 0,0,0,0,0,0,0,0,1,1,2,3,5,8,13,19,29,40,58,79,111,148,201,264,349,

%T 449,583,739,943,1181,1482,1833,2273,2780,3405,4126,5002,6006,7215,

%U 8593,10235,12101,14300,16795,19713,23003,26825,31124,36083,41638,48012

%N Sum of the fifth largest 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)} l.

%F a(n) = A308989(n) - A308990(n) - A308991(n) - A308992(n) - A308995(n) - A308996(n) - A308997(n) - A308998(n).

%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[l, {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, A308990, A308991, A308992, A308995, A308996, A308997, A308998.

%K nonn

%O 0,11

%A _Wesley Ivan Hurt_, Jul 04 2019