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 A347743 #8 Sep 12 2021 09:50:21
%S A347743 1,0,1,1,1,3,2,6,6,10,16,20,35,46,71,98,130,182,226,295,359,430,534,
%T A347743 626,746,880,1019,1196,1392,1574,1815,2063,2313,2655,2941,3275,3669,
%U A347743 4017,4441,4917,5295,5852,6365,6957,7575,8198,8839,9511,10374,10958,11931
%N A347743 Number of compositions (ordered partitions) of n into at most 6 prime parts.
%F A347743 a(n) = Sum_{k=1..6} A121303(n,k) for n >= 2. - _Alois P. Heinz_, Sep 11 2021
%t A347743 Table[Length@Flatten[Permutations/@IntegerPartitions[n,6,Prime@Range@PrimePi@n],1],{n,0,50}] (* _Giorgos Kalogeropoulos_, Sep 12 2021 *)
%Y A347743 Cf. A000040, A023360, A121303, A340962, A347739, A347740, A347741, A347742.
%K A347743 nonn
%O A347743 0,6
%A A347743 _Ilya Gutkovskiy_, Sep 11 2021