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%I #23 Sep 08 2022 08:44:45
%S 1,13,73,337,1441,5953,24193,97537,391681,1569793,6285313,25153537,
%T 100638721,402604033,1610514433,6442254337,25769410561,103078428673,
%U 412315287553,1649264295937,6597063475201
%N 2nd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6).
%H Vincenzo Librandi, <a href="/A020527/b020527.txt">Table of n, a(n) for n = 0..170</a>
%H <a href="/index/Be#Bernoulli">Index entries for sequences related to Bernoulli numbers.</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (7,-14,8).
%F a(n) = 6*(4^n - 2^n) + 1. - _Ralf Stephan_, Apr 06 2004
%F G.f.: (-1 - 6*x + 4*x^2) / ((x-1)*(2*x-1)*(4*x-1)). - _R. J. Mathar_, Jun 11 2013
%p seq(bernoulli(2,2^i),i=0..24);
%o (Magma) [6 * (4^n - 2^n) + 1: n in [0..40]]; // _Vincenzo Librandi_, Apr 25 2011
%K nonn
%O 0,2
%A _Simon Plouffe_
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