A249487 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.

2, 34, 42, 44, 198, 202, 646, 694, 840, 842, 856, 866, 876, 878, 880, 898, 902, 916, 1038, 1042, 1044, 1046, 1048, 1052, 1068, 1076, 1090, 1140, 1582, 1588, 1598, 1684, 1692, 1726, 1748, 1750, 2292, 2304, 2336, 2478, 2556, 2558, 2754, 2762, 2766, 2772, 2774

Offset: 1

Author

Vladimir Shevelev, Jan 13 2015

Keywords

• nonn

Comments

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.

For k >= 1,

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

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

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

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A064179, A050376, A249482.

Extensions

More terms from Peter J. C. Moses, Jan 13 2015