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

0,1

Links

Table of n, a(n) for n=0..33.

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)

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 *)

Crossrefs

Cf. A000040, A014342.

Column k=3 of A340991.

Sequence in context: A341987 A341068 A092365 * A162596 A331999 A341137

Adjacent sequences: A014340 A014341 A014342 * A014344 A014345 A014346

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved