Search: id:A136616
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%I A136616
%S A136616 1,3,6,9,11,14,17,19,22,25,28,30,33,36,38,41,44,47,49,52,55,57,60,63,66,
%T A136616 68,71,74,76,79,82,85,87,90,93,96,98,101,104,106,109,112,115,117,120,
%U A136616 123,125,128,131,134,136,139,142,144,147,150,153,155,158,161,163,166
%N A136616 a(n) = largest m with H(m) - H(n) <= 1, where H(i) = sum{j=1 to i} 1/
               j, the i-th harmonic number, H(0)=0.
%F A136616 a(n) = floor( e*n + (e-1)/2 + (e - 1/e)/(24*(n + 1/2))), after a suggestion 
               by David Cantrell
%e A136616 a(3) = 9 because H(9)-H(3) = 1/4+...+1/9 < 1 < 1/4+...+1/10 = H(10)-H(3)
%p A136616 A136616 := n -> floor( e*n + (e-1)/2 + (e - 1/e)/(24*(n + 1/2)));
%Y A136616 Cf. A002387, A004080, A079353, A096618, A115515, A014537, A055980.
%Y A136616 Sequence in context: A094740 A047400 A054414 this_sequence A121384 A151926 
               A145283
%Y A136616 Adjacent sequences: A136613 A136614 A136615 this_sequence A136617 A136618 
               A136619
%K A136616 easy,nonn
%O A136616 0,2
%A A136616 Rainer Rosenthal (r.rosenthal(AT)web.de), Jan 13 2008
%E A136616 Definition corrected by David W. Cantrell, Apr 14 2008

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