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.

A242955 Decimal expansion of the constant c = lim f(n)*n^(3/2)/rho^n where f(n) = A214833(n) is the number of arithmetic formulas for n, and rho = A242970.

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%I A242955 #38 Feb 11 2020 02:11:54
%S A242955 1,4,5,6,9,1,8,5,4,6,9,9,9,7,9,2,9,4,5,6,0,4,2,4,8,3,6,0,5,7,9
%N A242955 Decimal expansion of the constant c = lim f(n)*n^(3/2)/rho^n where f(n) = A214833(n) is the number of arithmetic formulas for n, and rho = A242970.
%C A242955 This is the constant c given on page 2 of E. K. Gnang and others.
%C A242955 Gnang et al. find f(n) = A214833(n) ~ c*rho^n/n^(3/2) as n -> oo, with rho given in A242970, and c given by the present sequence. - _M. F. Hasler_, May 04 2017
%H A242955 Edinah K. Gnang, Maksym Radziwill, Carlo Sanna, <a href="http://arxiv.org/abs/1406.1704">Counting arithmetic formulas</a>, arXiv:1406.1704 [math.CO], (6-June-2014).
%H A242955 Edinah K. Gnang, Maksym Radziwill, Carlo Sanna, <a href="http://dx.doi.org/10.1016/j.ejc.2015.01.007">Counting arithmetic formulas</a>, European Journal of Combinatorics 47 (2015), pp. 40-53.
%e A242955 c = 0.1456918546999792945604248360579...
%Y A242955 The constant rho is given in A242970.
%Y A242955 Cf. A214833.
%K A242955 nonn,cons,more
%O A242955 0,2
%A A242955 _Jonathan Vos Post_, Jun 09 2014
%E A242955 Offset corrected, definition improved, more terms from _M. F. Hasler_, May 04 2017