This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A103879 #6 Apr 30 2014 01:31:16 %S A103879 1,1,0,1,-1,0,1,-3,1,0,1,-11,7,-1,0,1,-25,85,-15,1,0,1,-137,415,-575, %T A103879 31,-1,0,1,-49,12019,-5845,3661,-63,1,0,1,-121,13489,-874853,76111, %U A103879 -22631,127,-1,0,1,-761,726301,-336581,58067611,-952525,137845,-255,1 %N A103879 Square array T(n,k) read by antidiagonals: numerators of Stirling numbers of first kind with negative argument S1(-n,k), n,k>=0. %H A103879 D. Loeb, <a href="http://arXiv.org/abs/math.CO/9502217">Generalization of the Stirling numbers of first kind</a> %F A103879 T(n, k) = (-1)^(k+1) * Sum[i=1..n, C(n, i)*(-1)^i*i^(-k) ]. %F A103879 G.f. of n-th row: 1/n! * 1/Prod[i=1..n, 1+x/i ]. %e A103879 1, 0, 0, 0, 0, 0, %e A103879 1, -1, 1, -1, 1, -1, %e A103879 1/2, -3/4, 7/8, -15/16, 31/32, -63/64, %e A103879 1/6, -11/36, 85/216, -575/1296, 3661/7776, -22631/46656, %e A103879 1/24,-25/288,415/3456,-5845/41472,76111/497664,-952525/5971968, %o A103879 (PARI) T(n,k)=numerator(1/n!*polcoeff(Ser(1/prod(i=1,n,1+x/i)),k)) %Y A103879 Denominators are in A103880. Cf. A008969. %K A103879 sign,tabl,frac %O A103879 0,8 %A A103879 _Ralf Stephan_, Feb 20 2005