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%I #8 Mar 11 2014 01:32:13
%S -1,0,2,62,554,74258,142682,2830946,1448977246,12576415426,
%T 1857881203154,64634117421826,62771945063582,164497840779865642,
%U 350742295126606034006,5774653629556529218142,5647762835059481932498,12720214895833193424471634
%N (2*numerator(H(p-3)) -3*denominator(H(p-3)))/p with H(m) = 1 + 1/2 + 1/3 + ...+ 1/m.
%C Proposed by _Leroy Quet_.
%C _Leroy Quet_ conjectures that the terms are always integral. This is true for p < 3*10^4.
%F a(n) = (2*A001008(p-3) - 3*A002805(p-3))/p, p prime >= 5.
%o (PARI) H(n)=sum(i=1,n,1/i); forprime(p=3,100,print1((2*numerator(H(p-3))-3*denominator(H(p-3)))/p,","))
%K sign
%O 1,3
%A Mohammed Bouayoun (bouyao(AT)wanadoo.fr) and _Ralf Stephan_, Mar 07 2004