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 A347739 #9 Sep 12 2021 09:49:50 %S A347739 1,0,1,1,1,3,1,3,2,2,3,1,2,3,3,2,4,1,4,3,4,2,5,1,6,2,5,0,4,1,6,3,4,2, %T A347739 7,0,8,1,3,2,6,1,8,3,6,2,7,1,10,2,8,0,6,1,10,2,6,0,7,1,12,3,5,2,10,0, %U A347739 12,1,4,2,10,1,12,3,9,2,10,0,14,1,8 %N A347739 Number of compositions (ordered partitions) of n into at most 2 prime parts. %F A347739 a(n) = Sum_{k=1..2} A121303(n,k) for n >= 2. - _Alois P. Heinz_, Sep 11 2021 %t A347739 Table[Length@Flatten[Permutations/@IntegerPartitions[n,2,Prime@Range@PrimePi@n],1],{n,0,100}] (* _Giorgos Kalogeropoulos_, Sep 12 2021 *) %Y A347739 Cf. A000040, A023360, A073610, A121303, A347740, A347741, A347742, A347743. %K A347739 nonn %O A347739 0,6 %A A347739 _Ilya Gutkovskiy_, Sep 11 2021