This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A344245 #8 May 21 2021 16:49:08
%S A344245 1,0,1,0,1,1,2,1,2,1,4,3,4,3,4,4,6,7,7,6,8,9,13,11,11,12,15,16,18,18,
%T A344245 19,19,23,26,28,27,27,32,36,37,39,42,45,44,51,55,58,55,57,66,71,75,76,
%U A344245 82,84,87,93,104,103,103,105,119,131,130,134,141,145,151,163,173,176,173
%N A344245 Number of partitions of n into 5 semiprime parts.
%H A344245 Alois P. Heinz, <a href="/A344245/b344245.txt">Table of n, a(n) for n = 20..10000</a>
%H A344245 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A344245 a(n) = Sum_{l=1..floor(n/5)} Sum_{k=l..floor((n-1)/4)} Sum_{j=k..floor((n-k-l)/3)} Sum_{i=j..floor((n-j-k-l)/2)} [Omega(l) = Omega(k) = Omega(j) = Omega(i) = Omega(n-i-j-k-l) = 2], where Omega is the number of prime factors with multiplicity (A001222) and [ ] is the (generalized) Iverson bracket.
%F A344245 a(n) = [x^n y^5] 1/Product_{j>=1} (1-y*x^A001358(j)). - _Alois P. Heinz_, May 21 2021
%Y A344245 Cf. A001222 (Omega), A001358 (semiprimes).
%Y A344245 Cf. A340756.
%Y A344245 Column k=5 of A344447.
%K A344245 nonn
%O A344245 20,7
%A A344245 _Wesley Ivan Hurt_, May 12 2021