Search: id:A027858
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%I A027858
%S A027858 1,5,3,49,48,11,820,1030,404,50,21076,31050,16090,3510,274,
%T A027858 773136,1277136,792540,233100,32724,1764,38402064,69261696,
%U A027858 48943692,17498880,3361176,330624,13068
%N A027858 Triangle of "Harmonic Coefficients" T(j,k), read by rows: (sum:n=1 to 
               j: T(j,n)*k^n)*k!/((j+k)!*j!) =(sum:n=1 to k:(1/n-1/(n+j)) =j*(sum:n=1 
               to k:1/(n*(n+j)))).
%H A027858 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%F A027858 T(j, n)=j!*(sum:m=1 to n: S(j+1, n+1-m)*(-1)^(m+1)*(sum:i=1 to j:i^(-m-1))), 
               where S(M, N) is a Stirling number of first kind (unsigned). Also 
               T(j, n)=j!*(S(j+1, n+1)*(1+1/2+1/3+...1/j)-S(j+1, n+2)*(n+1)).
%Y A027858 Sequence in context: A032532 A111108 A038245 this_sequence A124013 A007299 
               A109254
%Y A027858 Adjacent sequences: A027855 A027856 A027857 this_sequence A027859 A027860 
               A027861
%K A027858 nonn,tabl,easy
%O A027858 0,2
%A A027858 Leroy Quet.

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