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.

A034172 Nearest integer to n!/(2*log(2)^(n+1)).

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%I A034172 #12 Feb 16 2025 08:32:37
%S A034172 1,1,3,13,75,541,4683,47293,545835,7087261,102247563,1622632573,
%T A034172 28091567595,526858348381,10641342970443,230283190977853,
%U A034172 5315654681981355,130370767029135900,3385534663256845326
%N A034172 Nearest integer to n!/(2*log(2)^(n+1)).
%C A034172 Agrees with A000670 for 0 <= n <= 16.
%D A034172 H. S. Wilf, Generatingfunctionology, Academic Press, NY, 1990, p. 147.
%H A034172 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AlmostInteger.html">Almost Integer.</a>
%H A034172 H. S. Wilf, <a href="http://www.math.upenn.edu/~wilf/DownldGF.html">Generatingfunctionology</a>, 2nd edn., Academic Press, NY, 1994, p. 176, Eq. 5.2.8.
%t A034172 Table[(1/2)*n!/Log[2]^(n+1) // Round, {n, 0, 18}] (* _Jean-François Alcover_, Dec 28 2017 *)
%Y A034172 Dominant term in an infinite series for A000670.
%K A034172 nonn
%O A034172 0,3
%A A034172 _Dean Hickerson_, Oct 01 1998