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A308991 Sum of the seventh largest parts in the partitions of n into 8 parts. 8

%I

%S 0,0,0,0,0,0,0,0,1,1,2,3,5,7,11,16,24,32,45,60,82,107,143,184,240,303,

%T 387,484,609,753,934,1142,1401,1695,2056,2468,2967,3532,4208,4974,

%U 5882,6904,8105,9458,11033,12798,14840,17124,19750,22674,26018,29735

%N Sum of the seventh 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)} o.

%F a(n) = A308989(n) - A308990(n) - A308992(n) - A308994(n) - A308995(n) - A308996(n) - A308997(n) - A308998(n).

%t Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[o, {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, A308992, A308994, A308995, A308996, A308997, A308998.

%K nonn

%O 0,11

%A _Wesley Ivan Hurt_, Jul 04 2019

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Last modified February 21 04:55 EST 2020. Contains 332086 sequences. (Running on oeis4.)