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.

A345160 a(n) = Product_{k=1..n} sigma_3(k).

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%I A345160 #12 Sep 18 2023 17:54:09
%S A345160 1,9,252,18396,2317896,584109792,200933768448,117546254542080,
%T A345160 88982514688354560,100906171656594071040,134407020646583302625280,
%U A345160 274727950201616270566072320,603852034543152562704226959360,1869525898945600334132286666178560
%N A345160 a(n) = Product_{k=1..n} sigma_3(k).
%C A345160 Partial products of A001158.
%H A345160 Vaclav Kotesovec, <a href="/A345160/b345160.txt">Table of n, a(n) for n = 1..180</a>
%H A345160 Ramanujan's Papers, <a href="https://web.archive.org/web/20200124035942/http://ramanujan.sirinudi.org/Volumes/published/ram17.html">Some formulas in the analytic theory of numbers</a>, Messenger of Mathematics, XLV, 1916, 81-84, Formula (20).
%F A345160 Lim_{n->infinity} (a(n) / (n!)^3)^(1/n) = A345159.
%t A345160 Table[Product[DivisorSigma[3, k], {k, 1, n}], {n, 1, 20}]
%t A345160 FoldList[Times,DivisorSigma[3,Range[20]]] (* _Harvey P. Dale_, Sep 18 2023 *)
%o A345160 (PARI) a(n) = prod(k=1, n, sigma(k, 3)); \\ _Michel Marcus_, Jun 10 2021
%Y A345160 Cf. A001158, A066843, A066780, A247951, A345159.
%K A345160 nonn
%O A345160 1,2
%A A345160 _Vaclav Kotesovec_, Jun 10 2021