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.

A367517 a(n) = Product_{1 <= i < j <= n} (i^3 + j^3).

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%I A367517 #10 Nov 22 2023 01:38:53
%S A367517 1,9,8820,3756261600,1808353823416358400,
%T A367517 2039434890206782239939575808000,
%U A367517 9701283544768145414379038964290421034844160000,318565016660642285381616434022976430918222575100233223503872000000
%N A367517 a(n) = Product_{1 <= i < j <= n} (i^3 + j^3).
%F A367517 a(n) ~ c * 2^(n^2 + n/2) * n^(3*n*(n-1)/2 - 9/8) / exp(9*n^2/4 - Pi*n*(n+1) / (2*sqrt(3)) - 3*n/2), where c = 0.1474592465511237361695489773766942970580292170583524962797073759996256...
%F A367517 a(n) = A093883(n) * A203312(n).
%t A367517 Table[Product[Product[i^3 + j^3, {i,1,j-1}], {j,2,n}], {n,1,10}]
%o A367517 (Python)
%o A367517 from math import prod
%o A367517 def A367517(n): return prod(i**3+j**3 for i in range(1,n) for j in range(i+1,n+1)) # _Chai Wah Wu_, Nov 22 2023
%Y A367517 Cf. A203475, A324426.
%Y A367517 Cf. A093883, A203312.
%K A367517 nonn
%O A367517 1,2
%A A367517 _Vaclav Kotesovec_, Nov 21 2023