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.

A056690 a(n) = floor(product_{k=2..n} log(k)).

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%I A056690 #15 Feb 12 2023 06:06:55
%S A056690 0,0,1,1,3,5,12,27,62,149,371,952,2513,6807,18873,53472,154554,455076,
%T A056690 1363287,4150560,12829558,40227005,127843589,411512640,1340747909,
%U A056690 4418886387,14724633149,49582195801,168638834537,579103599979
%N A056690 a(n) = floor(product_{k=2..n} log(k)).
%H A056690 Vaclav Kotesovec, <a href="/A056690/b056690.txt">Table of n, a(n) for n = 2..1000</a>
%F A056690 log(a(n)) ~ n*(log(log(n)) - 1/log(n) - 1/log(n)^2 - 2/log(n)^3 - 6/log(n)^4 - 24/log(n)^5 - ...). - _Vaclav Kotesovec_, Feb 12 2023
%e A056690 log(2)*log(3)*log(4)*log(5)= 1.699... So a(5) = 1, since the integer part of 1.699... is 1.
%t A056690 Table[Floor[Product[Log[k], {k, 2, n}]], {n, 2, 40}] (* _Vaclav Kotesovec_, Nov 28 2015 *)
%Y A056690 Cf. A025201, A046654.
%K A056690 easy,nonn
%O A056690 2,5
%A A056690 _Leroy Quet_, Aug 10 2000