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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Previous name was: Binomial(binomial(n+1,n)^2,n).

LINKS

Edward Jiang, Table of n, a(n) for n = 0..100

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 A238844 A073852

Adjacent sequences:  A070777 A070778 A070779 * A070781 A070782 A070783

KEYWORD

nonn

AUTHOR

Karol A. Penson, May 06 2002

EXTENSIONS

New name and more terms from Joerg Arndt, Nov 01 2013

STATUS

approved

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Last modified September 20 07:21 EDT 2020. Contains 337264 sequences. (Running on oeis4.)