login
A070780
Binomial((n+1)^2,n).
3
1, 4, 36, 560, 12650, 376992, 13983816, 621216192, 32164253550, 1902231808400, 126524771308936, 9349109217266832, 759825846558448488, 67362990324409227840, 6469590128756692755600, 669128737063722082963200, 74148585178960981066746390, 8764445804610791475090220464, 1100718583140907766992803808200
OFFSET
0,2
COMMENTS
Previous name was: Binomial(binomial(n+1,n)^2,n).
LINKS
FORMULA
a(n)=b(n-1), b(n)=sum(i=1..n, (binomial(i*n,i-1)*binomial(n^2-i*n,n-i))/i), n>0. [Vladimir Kruchinin, Nov 01 2013]
MAPLE
A070780:=n->binomial((n+1)^2, n): seq(A070780(n), n=0..20); # Wesley Ivan Hurt, Aug 05 2014
MATHEMATICA
Table[Binomial[(n + 1)^2, n], {n, 0, 20}] (* Wesley Ivan Hurt, Aug 05 2014 *)
PROG
(Maxima)
b(n):=sum((binomial(i*n, i-1)*binomial(n^2-i*n, n-i))/i, i, 1, n);
makelist(b(n), n, 1, 10); [Vladimir Kruchinin, Nov 01 2013]
(PARI) a(n) = binomial((n+1)^2, n); \\ Joerg Arndt, Nov 01 2013
(Magma) [Binomial((n+1)^2, n) : n in [0..20]]; // Wesley Ivan Hurt, Aug 05 2014
CROSSREFS
Sequence in context: A294359 A336639 A178184 * A132687 A364152 A238844
KEYWORD
nonn
AUTHOR
Karol A. Penson, May 06 2002
EXTENSIONS
New name and more terms from Joerg Arndt, Nov 01 2013
STATUS
approved