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Triangle of coefficients of powers of e^2 in numerators of Sum_{k>=1} {1 / (1 + k^2*Pi^2)^n}.
0

%I #7 Sep 07 2022 22:22:29

%S 2,-1,8,-3,-5,41,-31,11,-33,286,-344,250,-63,-279,2577,-4418,4822,

%T -2423,489,-2895,28624,-64891,93624,-70501,28504,-4785,-35685,378317,

%U -1073889,1916161,-1925999,1169751,-392971,56475,-509985,5795682,-19792118,41973586

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/InfiniteSeries.html">Infinite Series</a>

%e {2, -3 + 8*e^2 - e^4, 11 - 31*e^2 + 41*e^4 - 5*e^6}.

%K sign,tabl

%O 1,1

%A _Eric W. Weisstein_, Jul 01 2003