A014343 Three-fold convolution of primes with themselves.

8, 36, 114, 291, 669, 1386, 2678, 4851, 8373, 13858, 22134, 34263, 51635, 75972, 109374, 154483, 214383, 292812, 394148, 523521, 686901, 891112, 1143936, 1454187, 1831973, 2288400, 2836044, 3488969, 4262541, 5173836, 6241612, 7486437, 8930649, 10598848

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Crossrefs

Cf. A000040, A014342.

Column k=3 of A340991.

Programs

Mathematica

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 *)

Formula

From Mario C. Enriquez, Dec 13 2016: (Start)

G.f: (b(x)^3)/(x^2), where b(x) is the g.f. of A000040.

a(n) = Sum_{k=0..n} A014342(n-k+1)*A000040(k+1).

(End)