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.

A367550 a(n) = Product_{i=1..n, j=1..n} (i^4 + i^2*j^2 + j^4).

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%I A367550 #13 Nov 26 2023 07:39:40
%S A367550 3,63504,2260442279270448,3379470372507391964272022793486336,
%T A367550 2097229364987262298214192667129919538956418868293588090880000
%N A367550 a(n) = Product_{i=1..n, j=1..n} (i^4 + i^2*j^2 + j^4).
%F A367550 a(n) = A367542(n) * A367543(n).
%F A367550 a(n) ~ Gamma(1/3)^3 * 3^(3*n*(n+1)/2 + 7/12) * n^(4*n^2 - 1) / (8*Pi^3 * exp(6*n^2 - (6*n*(n+1) + 1)*Pi/(4*sqrt(3)))).
%t A367550 Table[Product[Product[i^4 + i^2*j^2 + j^4, {i, 1, n}], {j, 1, n}], {n, 1, 10}]
%o A367550 (Python)
%o A367550 from math import prod, factorial
%o A367550 def A367550(n): return (prod((i2:=i**2)*(i2+(j2:=j**2))+j2**2 for i in range(1,n) for j in range(i+1,n+1))*factorial(n)**2)**2*3**n # _Chai Wah Wu_, Nov 22 2023
%Y A367550 Cf. A203673, A324437, A367542, A367543, A367668.
%K A367550 nonn
%O A367550 1,1
%A A367550 _Vaclav Kotesovec_, Nov 22 2023