The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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