A231606 Maximal possible numerator for a sum of the form 1 +/- 1/2 +/- 1/3 +/- ... +/- 1/n.

1, 3, 11, 25, 137, 127, 949, 2003, 7129, 7381, 83711, 86021, 1145993, 1171733, 1195757, 2436559, 42142223, 41461543, 800021557, 788381929, 799467289, 810048769, 18863914247, 19087007117, 99182995801, 100212655201, 312536252003, 315404588903

Offset: 1

Author

T. D. Noe, Nov 19 2013

Keywords

• nonn

Crossrefs

Cf. A003418 (maximal denominator).

Cf. A061195 (minimal numerator), A232090 (minimal denominator).

Programs

Mathematica

nMax = 19; d = {0}; Table[d = Flatten[{d + 1/n, d - 1/n}]; Max[Abs[Numerator[d]]], {n, nMax}]