A225420 a(n) is the least number k such that the sum of the n Moebius function values beginning at k reaches the maximum value A083544(n).

1, 14, 33, 32, 91, 141, 213, 212, 213, 3090, 3093, 3090, 3090, 3090, 38405, 38404, 3090, 3090, 38401, 38400, 294581, 294581, 39569681, 5571498, 68780189, 294577, 68780189, 53758490, 92636277, 456742389, 1176172581, 880346227, 3953000577, 13821836609, 948481781, 948481780, 948481781, 5332819926, 35398246981, 35398246979

Offset: 1

Author

T. D. Noe, May 07 2013

Keywords

• nonn
• hard
• more

Examples

			For n = 2, the 14 sums are 0, -2, -1, -1, 0, 0, -1, 0, 1, 0, -1, -1, 0, 2.
		

Crossrefs

Cf. A008683 (Moebius function), A083544 (maximum values of sums).

Programs

Mathematica

mu = Table[MoebiusMu[i], {i, 1000000}]; t = Table[s = Total /@ Partition[mu, n, 1]; mx = Max[s]; pos = Position[s, mx, 1, 1][[1, 1]]; {mx, pos}, {n, 22}]; Transpose[t][[2]]

Extensions

a(23)-a(24) added by T. D. Noe, May 08 2013

More terms from Don Reble, Apr 21 2021