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 A085385 #16 Dec 18 2019 02:03:49 %S A085385 0,1,9,46,184,640,2032,6048,17152,46848,124160,321024,813056,2023424, %T A085385 4960256,12001280,28704768,67960832,159449088,371064832,857210880, %U A085385 1967128576,4486856704,10177478656,22968008704,51589939200,115376914432 %N A085385 Binomial transform of hexagonal pyramidal numbers A002412. %H A085385 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (8,-24,32,-16). %F A085385 a(n) = n*2^n(2n^2 + 9n + 1)/4!. %F A085385 G.f.: x(1-x)(1+2x)/(1-2x)^4. - _R. J. Mathar_, Oct 23 2008 %o A085385 (PARI) a(n) = n*2^n*(2*n^2+9*n+1)/4! \\ _Michel Marcus_, May 18 2013 %Y A085385 Cf. A002412. %Y A085385 Cf. A014483, A087076 (partial sums). - _R. J. Mathar_, Oct 23 2008 %K A085385 easy,nonn %O A085385 0,3 %A A085385 _Paul Barry_, Jun 27 2003