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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
OFFSET
0,1
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
Column k=3 of A340991.
Sequence in context: A341987 A341068 A092365 * A162596 A331999 A341137
KEYWORD
nonn
AUTHOR
STATUS
approved