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 A014343 #13 Jul 08 2025 05:36:49 %S A014343 8,36,114,291,669,1386,2678,4851,8373,13858,22134,34263,51635,75972, %T A014343 109374,154483,214383,292812,394148,523521,686901,891112,1143936, %U A014343 1454187,1831973,2288400,2836044,3488969,4262541,5173836,6241612,7486437,8930649,10598848 %N A014343 Three-fold convolution of primes with themselves. %F A014343 From _Mario C. Enriquez_, Dec 13 2016: (Start) %F A014343 G.f: (b(x)^3)/(x^2), where b(x) is the g.f. of A000040. %F A014343 a(n) = Sum_{k=0..n} A014342(n-k+1)*A000040(k+1). %F A014343 (End) %t A014343 Table[Sum[Prime[k + 1] Sum[Prime[i] Prime[# + 1 - i], {i, #}] &[n - k + 1], {k, 0, n}], {n, 0, 26}] (* _Michael De Vlieger_, Dec 13 2016 *) %Y A014343 Cf. A000040, A014342. %Y A014343 Column k=3 of A340991. %K A014343 nonn %O A014343 0,1 %A A014343 _N. J. A. Sloane_