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A014343 Three-fold convolution of primes with themselves. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 6 20:22 EST 2021. Contains 349567 sequences. (Running on oeis4.)