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A326470 Sum of the fourth largest parts of the partitions of n into 9 parts.

%I A326470 #9 May 01 2023 21:13:16
%S A326470 0,0,0,0,0,0,0,0,0,1,1,2,3,6,9,15,22,35,50,73,101,145,196,270,360,484,
%T A326470 632,832,1069,1382,1755,2229,2794,3508,4346,5384,6608,8101,9847,11960,
%U A326470 14413,17354,20760,24791,29444,34923,41201,48535,56926,66654,77731
%N A326470 Sum of the fourth largest parts of the partitions of n into 9 parts.
%H A326470 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A326470 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)} k.
%F A326470 a(n) = A326464(n) - A326465(n) - A326466(n) - A326467(n) - A326468(n) - A326469(n) - A326471(n) - A326472(n) - A326473(n).
%t A326470 Table[Total[IntegerPartitions[n,{9}][[;;,4]]],{n,0,50}] (* _Harvey P. Dale_, May 01 2023 *)
%Y A326470 Cf. A026815, A326464, A326465, A326466, A326467, A326468, A326469, A326471, A326472, A326473.
%K A326470 nonn
%O A326470 0,12
%A A326470 _Wesley Ivan Hurt_, Jul 10 2019