cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A177788 a(n) = binomial(n^2, n+1)/(n-1).

This page as a plain text file.
%I A177788 #11 May 01 2024 06:39:17
%S A177788 4,63,1456,44275,1669536,75163011,3934369216,234799050915,
%T A177788 15736644960400,1170354134607658,95648578915114512,
%U A177788 8520904136405458044,821828481957792579648,85317719822978885714475,9485883860726883646713600,1124586875214241546178986915
%N A177788 a(n) = binomial(n^2, n+1)/(n-1).
%C A177788 The entries are integer for n >= 2 because binomial(n^2,n+1)/(n-1) = n*binomial(n^2-2,n-1), which is a product of two integers.
%H A177788 G. C. Greubel, <a href="/A177788/b177788.txt">Table of n, a(n) for n = 2..335</a>
%F A177788 a(n) = binomial(n^2,n+1)/(n-1).
%F A177788 a(n) = n * A177234(n).
%F A177788 a(n) = n^2 * A177784(n).
%p A177788 n0:=30: T:=array(1..n0): T:=array(1..n0-1): for n from 2 to n0 do: T[n-1]:= (binomial(n^2,n+1))/(n-1): od: print(T):
%t A177788 Table[Binomial[n^2,n+1]/(n-1), {n,2,40}] (* _G. C. Greubel_, Apr 28 2024 *)
%o A177788 (Magma) [Binomial(n^2,n+1)/(n-1): n in [2..30]]; // _G. C. Greubel_, Apr 28 2024
%o A177788 (SageMath) [binomial(n^2,n+1)/(n-1) for n in range(2,31)] # _G. C. Greubel_, Apr 28 2024
%o A177788 (PARI) a(n) = binomial(n^2, n+1)/(n-1) \\ _Charles R Greathouse IV_, May 01 2024
%Y A177788 Cf. A000108, A014062, A060545, A177234, A177456, A177784.
%K A177788 nonn
%O A177788 2,1
%A A177788 _Michel Lagneau_, May 13 2010
%E A177788 Removed redundant second Maple version - _R. J. Mathar_, May 14 2010