|
|
A354054
|
|
a(n) = Product_{k=0..n} (k^6 + 1).
|
|
1
|
|
|
1, 2, 130, 94900, 388805300, 6075471617800, 283463279271694600, 33349454806314869690000, 8742392830201411514885050000, 4646074730467898538293540742100000, 4646079376542629006192079035640742100000, 8230817672466612927467651920537784356160200000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) ~ (2*sinh(2*Pi) - 4*sinh(Pi)*cos(sqrt(3)*Pi)) * n^(6*n + 3) / exp(6*n).
|
|
MAPLE
|
mul( k^6+1, k=0..n) ;
end proc:
|
|
MATHEMATICA
|
Table[Product[k^6 + 1, {k, 0, n}], {n, 0, 15}]
|
|
PROG
|
(PARI) a(n) = prod(k=1, n, k^6+1);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|