A120191 a(1)=6; a(n)=floor((47+sum(a(1) to a(n-1)))/7).
6, 7, 8, 9, 11, 12, 14, 16, 18, 21, 24, 27, 31, 35, 40, 46, 53, 60, 69, 79, 90, 103, 118, 134, 154, 176, 201, 229, 262, 300, 342, 391, 447, 511, 584, 667, 763, 872, 996, 1139
Offset: 1
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Programs
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Mathematica
nxt[{t_,a_}]:=Module[{c=Floor[(47+t)/7]},{t+c,c}]; NestList[nxt,{0,6},40][[All,2]] (* Harvey P. Dale, Jan 17 2020 *)