The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A014352 Four-fold exponential convolution of primes with themselves. 5
16, 96, 592, 3680, 22888, 141776, 872296, 5320160, 32116168, 191634736, 1128985544, 6560592320, 37577101096, 212032652336, 1178400630472, 6450745788064, 34795044655624, 185041871051312, 971039709861320, 5033044804735360, 25793494764933224, 130834363186542320 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
E.g.f.: (Sum_{k>=0} prime(k+1)*x^k/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))*binomial(n, j), j=0..n))
end:
a:= n-> b(n, 4):
seq(a(n), n=0..30); # 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]] Binomial[n, j], {j, 0, n}]];
a[n_] := b[n, 4];
Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Jun 05 2018, after Alois P. Heinz *)
CROSSREFS
Sequence in context: A321851 A185789 A322617 * A083295 A044267 A044648
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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 05:11 EDT 2024. Contains 372758 sequences. (Running on oeis4.)