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!)
 A014344 Four-fold convolution of primes with themselves. 2
 16, 96, 376, 1160, 3121, 7532, 16754, 34796, 68339, 127952, 229956, 398688, 669781, 1094076, 1742710, 2713604, 4139111, 6195712, 9115304, 13199072, 18833449, 26509260, 36843322, 50603884, 68740107, 92414192, 123039628, 162323200, 212312453, 275448380 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 FORMULA G.f.: ((1/x)*Sum_{k>=1} prime(k)*x^k)^4. - Ilya Gutkovskiy, Mar 10 2018 MAPLE b:= proc(n, k) option remember; `if`(k=1, ithprime(n+1),       add(b(j, floor(k/2))*b(n-j, ceil(k/2)), j=0..n))     end: a:= n-> b(n, 4): seq(a(n), n=0..35);  # Alois P. Heinz, Mar 10 2018 MATHEMATICA b[n_, k_] := b[n, k] = If[k==1, Prime[n+1], Sum[b[j, Floor[k/2]] b[n-j, Ceiling[k/2]], {j, 0, n}]]; a[n_] := b[n, 4]; a /@ Range[0, 35] (* Jean-François Alcover, Nov 16 2020, after Alois P. Heinz *) PROG (PARI) my(N = 50, x = 'x + O('x^N)); Vec(((1/x)*sum(k=1, N, prime(k)*x^k))^4) \\ Michel Marcus, Mar 10 2018 CROSSREFS Cf. A000040, A014342, A014343. Column k=4 of A340991. Sequence in context: A143060 A006637 A241937 * A239613 A100313 A091079 Adjacent sequences:  A014341 A014342 A014343 * A014345 A014346 A014347 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 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)