Search: id:A127264
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%I A127264
%S A127264 4,8,13,17,22,26,31,36,40,45,49,54,59,63,68,72,77,82,86,91,95,100,105,
               109,
%T A127264 114,119,123,128,132,137,142,146,151,155,160,165,169,174,178,183,188,192,
%U A127264 197,201,206,211,215,220,224,229,234,238,243,247,252,257,261,266,270,275
%N A127264 Nearest integer to 2*Sum[1/i,{i,1,10^n/2}] - 1.
%C A127264 The original definition was: Nearest integer to Sum[(10^n-i)/i,{i,1,10^n/
               2}]/(10^n/2), but this was simplified to the present definition by 
               Jon Schoenfield, Aug 05 2008
%H A127264 Jon Schoenfield, <a href="b127264.txt">Table of n, a(n) for n = 1..1000</
               a>
%F A127264 a(n) = round(2 * (ln(m) + Gamma) + 1/m - ...) - 1 where m = 10^n / 2 
               and Gamma = 0.57721566490153286... (the Euler-Mascheroni constant 
               A001620). - Jon Schoenfield, Aug 05 2008
%e A127264 a(1)=4 because round((9/1 + 8/2 + 7/3 + 6/4 + 5/5)/5) is 4.
%e A127264 a(2)=8 because round((99/1 + 98/2 +... +50/50))/50 is 8.
%p A127264 for i from 10 to 11 by 2 do s:=0; t:=0; for d from i/2 to i -1 do s:= 
               s + (d / (i - d)); t:= t +1; end do; print(round((s / t))); end do;
%Y A127264 Different from A004081, although the sequences have the same first few 
               terms.
%Y A127264 Sequence in context: A081843 A004938 A004081 this_sequence A130236 A034856 
               A064609
%Y A127264 Adjacent sequences: A127261 A127262 A127263 this_sequence A127265 A127266 
               A127267
%K A127264 nonn
%O A127264 1,1
%A A127264 Ben Thurston (benthurston27(AT)yahoo.com), Mar 27 2007
%E A127264 Extended and edited by John W. Layman (layman(AT)math.vt.edu), Jul 10 
               2007
%E A127264 Terms from a(11) onwards from Jon Schoenfield, Aug 05 2008

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