|
|
A349471
|
|
a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(k*n,k).
|
|
2
|
|
|
1, 0, 5, 71, 1625, 48699, 1815157, 80960200, 4205895521, 249447427145, 16631893722851, 1231521399730489, 100270564101729529, 8903719880410535595, 856322102196977446955, 88677383473792696758599, 9837660365763014667911553, 1163993530309417488368300653
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
a[n_] := Sum[(-1)^(n - k) * Binomial[k*n, k], {k, 0, n}]; Array[a, 20, 0] (* Amiram Eldar, Nov 19 2021 *)
|
|
PROG
|
(PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(k*n, k));
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|