A214441 Catalan numbers at square positions: a(n) = A000108(n^2).

1, 1, 14, 4862, 35357670, 4861946401452, 11959798385860453492, 509552245179617138054608572, 368479169875816659479009042713546950, 4462290049988320482463241297506133183499654740, 896519947090131496687170070074100632420837521538745909320

Offset: 0

Author

Paul D. Hanna, Jul 17 2012

Keywords

• nonn

Crossrefs

Cf. A135758, A201555.

Programs

Mathematica

CatalanNumber[Range[0,10]^2] (* Harvey P. Dale, May 27 2013 *)

PARI

{a(n)=binomial(2*n^2,n^2)/(n^2+1)}
for(n=0,15,print1(a(n),", "))

Formula

a(n) = binomial(2*n^2, n^2) / (n^2 + 1).