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 A347741 #9 Sep 12 2021 09:50:07 %S A347741 1,0,1,1,1,3,2,6,6,10,15,15,24,25,31,36,35,45,50,55,63,69,73,90,91,99, %T A347741 113,114,130,143,144,153,166,159,195,179,213,191,253,216,279,236,288, %U A347741 247,343,248,377,275,397,318,456,307,503,342,524,401,572,379,641,396,667 %N A347741 Number of compositions (ordered partitions) of n into at most 4 prime parts. %F A347741 a(n) = Sum_{k=1..4} A121303(n,k) for n >= 2. - _Alois P. Heinz_, Sep 11 2021 %t A347741 Table[Length@Flatten[Permutations/@IntegerPartitions[n,4,Prime@Range@PrimePi@n],1],{n,0,60}] (* _Giorgos Kalogeropoulos_, Sep 12 2021 *) %Y A347741 Cf. A000040, A023360, A121303, A340960, A347739, A347740, A347742, A347743. %K A347741 nonn %O A347741 0,6 %A A347741 _Ilya Gutkovskiy_, Sep 11 2021