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

1,2

Links

Table of n, a(n) for n=1..40.

Example

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

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]]

Crossrefs

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

Sequence in context: A155819 A120711 A018959 * A107484 A076329 A261560

Adjacent sequences: A225417 A225418 A225419 * A225421 A225422 A225423

Keyword

nonn,hard,more

Author

T. D. Noe, May 07 2013

Extensions

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

More terms from Don Reble, Apr 21 2021

Status

approved