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 A020528 #22 Sep 16 2024 05:55:19 %S A020528 0,18,252,2520,22320,187488,1536192,12435840,100074240,802948608, %T A020528 6433016832,51501864960,412165877760,3297930928128,26385863196672, %U A020528 211096568954880,1688811205754880,13510644263682048 %N A020528 3rd Bernoulli polynomial evaluated at powers of 2 (multiplied by 6). %H A020528 <a href="/index/Be#Bernoulli">Index entries for sequences related to Bernoulli numbers.</a> %H A020528 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14,-56,64). %F A020528 a(n) = 3*2^(n+1)*(2^(n+1)-1)*(2^(n+1)-2)/4. - _Ralf Stephan_, Apr 06 2004 %F A020528 From _R. J. Mathar_, May 22 2013: (Start) %F A020528 a(n) = 18*A016290(n-1). %F A020528 G.f.: -18*x/((8*x-1)*(2*x-1)*(4*x-1)). (End) %F A020528 a(n) = 14*a(n-1) - 56*a(n-2) + 64*a(n-3). - _Wesley Ivan Hurt_, Mar 02 2023 %p A020528 seq(6*bernoulli(3,2^i),i=0..24); %t A020528 6*BernoulliB[3, 2^Range[0, 30]] (* _Paolo Xausa_, Sep 16 2024 *) %Y A020528 Cf. A016290, A020527. %K A020528 nonn %O A020528 0,2 %A A020528 _Simon Plouffe_