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.

A006001 Number of paraffins.

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%I A006001 M3385 #36 Jul 14 2023 14:24:53
%S A006001 1,4,10,22,43,76,124,190,277,388,526,694,895,1132,1408,1726,2089,2500,
%T A006001 2962,3478,4051,4684,5380,6142,6973,7876,8854,9910,11047,12268,13576,
%U A006001 14974,16465,18052,19738,21526
%N A006001 Number of paraffins.
%D A006001 S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926.
%D A006001 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006001 S. M. Losanitsch, <a href="/A000602/a000602_1.pdf">Die Isomerie-Arten bei den Homologen der Paraffin-Reihe</a>, Chem. Ber. 30 (1897), 1917-1926. (Annotated scanned copy)
%H A006001 Simon Plouffe, <a href="https://arxiv.org/abs/0911.4975">Approximations de séries génératrices et quelques conjectures</a>, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
%H A006001 Simon Plouffe, <a href="/A000051/a000051_2.pdf">1031 Generating Functions</a>, Appendix to Thesis, Montreal, 1992
%H A006001 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1).
%F A006001 G.f.: (1 + 2 x^3) / (1 - x)^4.
%F A006001 a(n) = 1 + 5*n/2 + n^3/2. - _Enrique Pérez Herrero_, Mar 19 2012
%p A006001 A006001:=(1+2*z**3)/(z-1)**4; # conjectured by _Simon Plouffe_ in his 1992 dissertation
%K A006001 nonn
%O A006001 0,2
%A A006001 _N. J. A. Sloane_, _Simon Plouffe_