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A112819 Numbers k such that lcm(1,2,3,...,k)/15 equals the denominator of the k-th harmonic number H(k). 12

%I #16 Jan 01 2024 11:56:03

%S 20,24,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,

%T 544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,41889597,

%U 41889598,41889599,41889600,41889601,41889602,41889603,41889604,41889605,41889606,41889607

%N Numbers k such that lcm(1,2,3,...,k)/15 equals the denominator of the k-th harmonic number H(k).

%C When 15 occurs in A110566.

%H Chai Wah Wu, <a href="/A112819/b112819.txt">Table of n, a(n) for n = 1..10000</a>

%t a = h = 1; t = {}; Do[a = LCM[a, n]; h = h + 1/n; If[a/Denominator[h] == 15, AppendTo[t, n]], {n, 10^6}]; t

%Y Cf. A002805, A003418, A110566.

%Y Cf. A098464, A112813, A112814, A112815, A112816, A112817, A112818, A112820, A112821, A112822.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Sep 17 2005

%E Definition corrected by _Jinyuan Wang_, May 03 2020

%E More terms from _Chai Wah Wu_, Mar 18 2021

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)