A074597 Numerator of 3 * H(n,3,2), a generalized harmonic number. See A075135.
3, 21, 99, 1209, 9123, 164331, 34437, 823467, 11066355, 330317679, 1355321733, 990324351, 19205317149, 802205873349, 815985479709, 38957620226163, 197637723726063, 10617280487243739, 75264900895382073
Offset: 1
Programs
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Mathematica
Table[ Numerator[ Sum[1/i, {i, 2/3, n}]], {n, 1, 20}]