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Denominators in the expansion of g.f. x^2/(x - log(1 + x)).
1

%I #8 Jan 27 2026 09:52:22

%S 1,3,9,135,810,8505,510300,382725,9185400,108256500,63654822000,

%T 155158628625,10639448820000,178742740176,268114110264000,

%U 598229608526550000,14357510604637200000,409189052232160200000,270064774473225732000000,101274290427459649500000

%N Denominators in the expansion of g.f. x^2/(x - log(1 + x)).

%D Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See p. 216, exercise 75e.

%e G.f. = 2 + (4/3)*x - (1/9)*x^2 + (8/135)*x^3 - (31/810)*x^4 + (233/8505)*x^5 + ...

%t CoefficientList[Series[x^2/(x-Log[1+x]),{x,0,19}],x]//Denominator

%Y Cf. A392798 (numerators).

%K nonn,frac

%O 0,2

%A _Stefano Spezia_, Jan 23 2026