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.
%I A295993 #10 May 25 2019 01:37:02 %S A295993 10845,32769,45837,47294 %N A295993 Numbers k such that there are precisely 8 groups of orders k and k + 1. %C A295993 Equivalently, lower member of consecutive terms of A249551. %C A295993 Other terms include 50225, 115785, 130974, 160474, 241366, 292774, 297689, 359106, 66885, 375254, 512974, 542654, 626354, 630002, 668205, 670074, 755825, 763637, 806518, 807274, 877162, 902565, 944414, but other terms may also be in this range. - _Robert Price_, May 24 2019 %H A295993 H. U. Besche, B. Eick and E. A. O'Brien. <a href="http://dx.doi.org/10.1142/S0218196702001115">A Millennium Project: Constructing Small Groups</a>, Internat. J. Algebra and Computation, 12 (2002), 623-644. %H A295993 Gordon Royle, <a href="http://staffhome.ecm.uwa.edu.au/~00013890/remote/cubcay/">Numbers of Small Groups</a> %H A295993 <a href="/index/Gre#groups">Index entries for sequences related to groups</a> %F A295993 Sequence is { n | A000001(n) = 8, A000001(n+1) = 8 }. %e A295993 10845 is in the sequence because A000001(10845) = A000001(10846) = 8, 32769 is in the sequence because A000001(32769) = A000001(32770) = 8 and 47294 is in the sequence because A000001(47294) = A000001(47295) = 8. %t A295993 Select[Range[10^6], (FiniteGroupCount[#] == 8 && FiniteGroupCount[# + 1] == 8) &] (* A current limit in Mathematica is such that some orders >2047 may not be evaluated. *) (* _Robert Price_, May 24 2019 *) %Y A295993 Cf. A000001, A249551. %K A295993 nonn,more %O A295993 1,1 %A A295993 _Muniru A Asiru_, Dec 02 2017