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 A292706 #14 Sep 22 2017 07:46:17 %S A292706 0,1,-31,2060,-242972,44808921,-11905513623,4306834677808, %T A292706 -2035350070549744,1217544864812657225,-899267301542329562375, %U A292706 803729476432302540694956,-854933675015747706872042556,1067328531318200947345698975505,-1545426104859564195269842899644047 %N A292706 a(n) = 1/2*((-1)^n*E(2*n-1,n) - E(2*n-1,0)), where E(n,x) is the Euler polynomial. %D A292706 M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 1972, Ch. 23. %F A292706 a(n) = 1^(2*n-1) - 2^(2*n-1) + ... + (-1)^n*(n-1)^(2*n-1). %F A292706 |a(n)| ~ 1/(1+e^(-2))*(n-1)^(2*n-1) = 0.88079707...*(n-1)^(2*n-1) as n goes to infinity. %t A292706 Table[((-1)^n EulerE[2n-1,n]-EulerE[2n-1,0])/2,{n,10}] %t A292706 Map[Total[(Map[(-1)^# (#-1)&,Range[#]])^(2#-1)]&,Range[10]] %t A292706 (* _Peter J. C. Moses_, Sep 21 2017 *) %o A292706 (PARI) a(n) = sum(k=1, n-1, (-1)^(k+1)*k^(2*n-1)); \\ _Michel Marcus_, Sep 22 2017 %Y A292706 Cf. A143074, A157805. %K A292706 sign %O A292706 1,3 %A A292706 _Vladimir Shevelev_, Sep 21 2017 %E A292706 More terms from _Peter J. C. Moses_, Sep 21 2017