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Numbers k such that the infinitary summatory Liouville function L*(k) = Sum{i=1..k} A064179(i) is zero and L*(k-1)*L*(k+1)=-1.
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%I #18 Feb 14 2021 13:01:28

%S 2,34,42,44,198,202,646,694,840,842,856,866,876,878,880,898,902,916,

%T 1038,1042,1044,1046,1048,1052,1068,1076,1090,1140,1582,1588,1598,

%U 1684,1692,1726,1748,1750,2292,2304,2336,2478,2556,2558,2754,2762,2766,2772,2774

%N Numbers k such that the infinitary summatory Liouville function L*(k) = Sum{i=1..k} A064179(i) is zero and L*(k-1)*L*(k+1)=-1.

%C Analog of A249482 in Fermi-Dirac arithmetic, based on distinct terms of A050376 as "primes". Surprisingly there is a giant contrast between this sequence and A249482.

%C For k >= 1,

%C in interval [a(2k-1), a(2k)], L(n) <= 0,

%C in interval [a(2k), a(2k+1)], L(n) >= 0.

%C In particular, for k=1, in interval [2, 34], L(n) <= 0.

%H Amiram Eldar, <a href="/A249487/b249487.txt">Table of n, a(n) for n = 1..10000</a>

%Y Cf. A064179, A050376, A249482.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Jan 13 2015

%E More terms from _Peter J. C. Moses_, Jan 13 2015