Search: id:A112288
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%I A112288
%S A112288 1,2,11,47,4999,4589867,1802849,80995354865,10388318700333839827,
%T A112288 129530631982136545940863,460116344514106299899953231,
%U A112288 1272711183040784735474188752842879054737
%N A112288 Numerator of sum{k=1 to n} 1/s(n,k), where s(n,k) is an unsigned Stirling 
               number of the first kind.
%C A112288 4 consecutive values are primes: 2, 11, 47, 4999. - Jonathan Vos Post 
               (jvospost3(AT)gmail.com), Sep 08 2005
%H A112288 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A112288 a(4) = 47, the numerator of 1/6 + 1/11 + 1/6 + 1 = 47/33.
%e A112288 The first few fractions are: 1, 2, 11/6, 47/33, 4999/4200.
%p A112288 with(combinat): a:=n->numer(sum(1/abs(stirling1(n,k)),k=1..n)): seq(a(n),
               n=1..14); (Deutsch)
%t A112288 f[n_] := Sum[1/Abs[StirlingS1[n, k]], {k, n}]; Table[Numerator[f[n]], 
               {n, 15}] (*Chandler*)
%Y A112288 Cf. A112289.
%Y A112288 Sequence in context: A089682 A050929 A019005 this_sequence A003442 A054894 
               A139475
%Y A112288 Adjacent sequences: A112285 A112286 A112287 this_sequence A112289 A112290 
               A112291
%K A112288 nonn,frac
%O A112288 1,2
%A A112288 Leroy Quet Sep 01 2005
%E A112288 Extended by Emeric Deutsch (deutsch(AT)duke.poly.edu) and Ray Chandler 
               (rayjchandler(AT)sbcglobal.net), Sep 02 2005

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