Triangle of coefficients of powers of e^2 in numerators of Sum_{k>=1} {1 / (1 + k^2*Pi^2)^n}.

Terms

a(0) =2a(1) =-1a(2) =8a(3) =-3a(4) =-5a(5) =41a(6) =-31a(7) =11a(8) =-33a(9) =286a(10) =-344a(11) =250a(12) =-63a(13) =-279a(14) =2577a(15) =-4418a(16) =4822a(17) =-2423a(18) =489a(19) =-2895a(20) =28624a(21) =-64891a(22) =93624a(23) =-70501a(24) =28504a(25) =-4785a(26) =-35685a(27) =378317a(28) =-1073889a(29) =1916161