Triangle of coefficients of numerators of powers of e^2 in Sum_{k>=1} {1 / (1 + (k+1/2)^2*Pi^2)^n} + {4^n / (4+Pi^2)^n}.

A085471

Triangle of coefficients of numerators of powers of e^2 in Sum_{k>=1} {1 / (1 + (k+1/2)^2*Pi^2)^n} + {4^n / (4+Pi^2)^n}.

Terms

    a(0) =1a(1) =-1a(2) =1a(3) =-4a(4) =-1a(5) =3a(6) =-17a(7) =-7a(8) =-3a(9) =15a(10) =-94a(11) =-56a(12) =-58a(13) =-15a(14) =105a(15) =-657a(16) =-578a(17) =-982a(18) =-503a(19) =-105a(20) =945a(21) =-5584a(22) =-7291a(23) =-16824a(24) =-12901a(25) =-5464a(26) =-945a(27) =10395a(28) =-55757a(29) =-106209

External references