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%I #12 Oct 30 2018 15:52:06
%S 1,31,114,199,443,665,1109,1637,2803,7021,8511,9861,19291,24185,31990,
%T 42961,48433,59577,96014,141869,230399,300551,355733,603151,926265,
%U 1066854,1793918,3239797,5343761,6481601,7109110,10194458,12874814,30919091,61913863
%N Indices where Mertens function A002321 reaches record amplitudes between zeros.
%C A subsequence of A051402 and A304239.
%C These are the indices where the Mertens function M = A002321 not only reaches a record value (in absolute value), but also its largest amplitude between subsequent zeros (as to avoid many "intermediate" records).
%H Bert Dobbelaere, <a href="/A304241/b304241.txt">Table of n, a(n) for n = 1..65</a>
%H Bert Dobbelaere, <a href="/A304241/a304241.cpp.txt">C++ program for A304241 and A304242</a>
%H G. Hurst, <a href="https://arxiv.org/abs/1610.08551">Computations of the Mertens Function and Improved Bounds on the Mertens Conjecture</a>, arXiv:1610.08551 [math.NT], 2016-2017.
%o (PARI) L=M=0;for(n=1,oo,if(m=A002321(n),abs(m)>abs(M)&&[M,N]=[m,n],abs(M)>abs(L) && (L=M) && print1(N",");M=0))
%Y Cf. A002321, A028442 (zeros of M), A051400, A051401, A051402 (where M, -M, |M| reaches k = 1, 2, 3, ...).
%Y Cf. A304242, A304239, A304240.
%K nonn,hard
%O 1,2
%A _M. F. Hasler_, May 08 2018
%E More terms from _Bert Dobbelaere_, Oct 30 2018