editing
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(PARI) a(n) = binomial(n^2, n+1)/(n-1) \\ Charles R Greathouse IV, May 01 2024
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G. C. Greubel, <a href="/A177788/b177788_1.txt">Table of n, a(n) for n = 2..335</a>
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G. C. Greubel, <a href="/A177788/b177788_1.txt">Table of n, a(n) for n = 2..335</a>
a(n) = binomial(n^2, n+1)/(n-1).
4, 63, 1456, 44275, 1669536, 75163011, 3934369216, 234799050915, 15736644960400, 1170354134607658, 95648578915114512, 8520904136405458044, 821828481957792579648, 85317719822978885714475, 9485883860726883646713600, 1124586875214241546178986915
Table[Binomial[n^2, n+1]/(n-1), {n, 2, 40}] (* G. C. Greubel, Apr 28 2024 *)
(Magma) [Binomial(n^2, n+1)/(n-1): n in [2..30]]; // G. C. Greubel, Apr 28 2024
(SageMath) [binomial(n^2, n+1)/(n-1) for n in range(2, 31)] # G. C. Greubel, Apr 28 2024
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editing
_Michel Lagneau (mn.lagneau2(AT)orange.fr), _, May 13 2010
Removed redundant second Maple version - _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 14 2010