|
| |
|
|
A238717
|
|
Sum_{k=0..n} C(2*k, k)^n.
|
|
2
|
|
|
|
3, 41, 8225, 24171313, 1017938927841, 622602106165767361, 5608871461647356879321985, 752730443089043674648784110740481, 1518229276131523691441191545330131883774977, 46343219682310810626560369524452971573580502826086401
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) ~ exp(-1/8) * 4^(n^2) / (Pi^(n/2) * n^(n/2)).
|
|
|
MATHEMATICA
|
Table[Sum[Binomial[2*k, k]^n, {k, 0, n}], {n, 1, 20}]
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
