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A234714 Numerator of sum_{k=1..n} 1/(k*H(k)) where H(k) is the harmonic number H(k) = sum_{j=1..n} 1/j. 1

%I #8 Dec 31 2013 02:55:55

%S 0,1,4,50,1349,194713,9917687,112451057,87707471002,638247495586258,

%T 39621419345255038,3367553690081394959018,293578866124447319211215128,

%U 340463591070905769538621961175104,403214792232827898020426758621769680732,16787247654077861265551571547714793328259156

%N Numerator of sum_{k=1..n} 1/(k*H(k)) where H(k) is the harmonic number H(k) = sum_{j=1..n} 1/j.

%C The corresponding denominators are in A234715.

%t nmax = 54; Table[ Numerator[ Sum[ 1/(k HarmonicNumber[k]), {k, 1, n} ] ], {n, 0, nmax} ]

%Y Cf. A001008, A002805, A000254, A096987, A124432, A234715

%K nonn,easy

%O 0,3

%A _Stuart Clary_, Dec 29 2013

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Last modified April 18 18:06 EDT 2024. Contains 371781 sequences. (Running on oeis4.)