|
|
A014347
|
|
Three-fold exponential convolution of primes with themselves.
|
|
5
|
|
|
8, 36, 168, 786, 3660, 16866, 76752, 343914, 1514724, 6543066, 27699960, 114793386, 466078116, 1854554490, 7248419496, 27869755866, 105687130980, 395978680266, 1468425404328, 5396913313866, 19675676962308, 71219609783946, 256052236665192, 914773982356902
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
|
|
FORMULA
|
|
|
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, 3):
|
|
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, 3];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|