%I A103360
%S A103360 1,1,1,2,2,1,3,2,6,1,8,12,8,12,1,30,24,12,24,60,1,144,240,144,48,36,20,
%T A103360 1,280,720,240,144,240,180,140,1,5760,10080,960,180,640,1440,1440,280,
               1
%N A103360 Denominator of coefficient in the interpolation polynomial for initial 
               values of the factorial, read by row.
%C A103360 N(n,n)/D(n,n) = Sum{k=0..n}(-1)^k/k! = A000166/n! = A053557/A053556, 
               where N(n,n) is A103361.
%F A103360 D(n, k) in Sum{k=0..n}N(n, k)/D(n, k)*m^k=m!, m=0..n, with reduced fraction 
               N(n, k)/D(n, k) and N(n, k) is A103361. D(n, k)=a(n*(n+3)/2-k).
%e A103360 1; 1; 1/2*x^2-1/2*x+1; 1/3*x^3-1/2*x^2+1/6*x+1;
%e A103360 3/8*x^4-23/12*x^3+29/8*x^2-25/12*x+1;
%e A103360 11/30*x^5-79/24*x^4+131/12*x^3-353/24*x^2+403/60*x+1
%Y A103360 Cf. A103361, A000166, A053556, A053557.
%Y A103360 Sequence in context: A129711 A030454 A145141 this_sequence A104469 A144112 
               A104660
%Y A103360 Adjacent sequences: A103357 A103358 A103359 this_sequence A103361 A103362 
               A103363
%K A103360 easy,frac,nonn,tabl
%O A103360 0,4
%A A103360 Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Feb 02 2005