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A214441 Catalan numbers at square positions: a(n) = A000108(n^2). 2
1, 1, 14, 4862, 35357670, 4861946401452, 11959798385860453492, 509552245179617138054608572, 368479169875816659479009042713546950, 4462290049988320482463241297506133183499654740, 896519947090131496687170070074100632420837521538745909320 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = binomial(2*n^2, n^2) / (n^2 + 1).
MATHEMATICA
CatalanNumber[Range[0, 10]^2] (* Harvey P. Dale, May 27 2013 *)
PROG
(PARI) {a(n)=binomial(2*n^2, n^2)/(n^2+1)}
for(n=0, 15, print1(a(n), ", "))
CROSSREFS
Sequence in context: A188955 A157824 A180588 * A241326 A344689 A159372
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jul 17 2012
STATUS
approved

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Last modified June 12 10:55 EDT 2024. Contains 373331 sequences. (Running on oeis4.)