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A014344 Four-fold convolution of primes with themselves. 1
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

PROG

(PARI) 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.

Sequence in context: A143060 A006637 A241937 * A239613 A100313 A091079

Adjacent sequences:  A014341 A014342 A014343 * A014345 A014346 A014347

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 14 16:21 EDT 2020. Contains 335729 sequences. (Running on oeis4.)