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.

A112818 Numbers k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k).

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%I A112818 #11 Apr 02 2022 15:29:35
%S A112818 156,157,158,159,160,161,27380,27381,27382,27383,27384,27385,27386,
%T A112818 27387,27388,27389,27390,27391,27392,27393,27394,27395,27396,27397,
%U A112818 27398,27399,27400,27401,27402,27403,27404,27405,27406,27407,27408
%N A112818 Numbers k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k).
%C A112818 When 13 occurs in A110566.
%H A112818 Jinyuan Wang, <a href="/A112818/b112818.txt">Table of n, a(n) for n = 1..851</a>
%t A112818 a = h = 1; t = {}; Do[a = LCM[a, n]; h = h + 1/n; b = a/Denominator[h]; If[b == 13, AppendTo[t, n]], {n, 27408}]; t
%t A112818 With[{tk=Table[{LCM@@Range[k]/13,Denominator[HarmonicNumber[k]]},{k,28000}]},Position[ tk,_?(#[[1]]==#[[2]]&),1,Heads->False]]//Flatten (* _Harvey P. Dale_, Apr 02 2022 *)
%Y A112818 Cf. A002805, A003418, A110566.
%Y A112818 Cf. A098464, A112813, A112814, A112815, A112816, A112817, A112819, A112820, A112821, A112822.
%K A112818 nonn
%O A112818 1,1
%A A112818 _Robert G. Wilson v_, Sep 17 2005
%E A112818 Definition corrected by _Jinyuan Wang_, May 03 2020