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 A187673 #23 Feb 16 2020 00:01:33 %S A187673 1,10,43,125,290,581,1050,1758,2775,4180,6061,8515,11648,15575,20420, %T A187673 26316,33405,41838,51775,63385,76846,92345,110078,130250,153075, %U A187673 178776,207585,239743,275500,315115,358856 %N A187673 Partial sums of the tricapped prism numbers A005920. %H A187673 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1). %F A187673 a(n) = Sum_{i=0..n} A005920(i). %F A187673 a(n) = (n+2)*(n+1)*(9*n^2 + 19*n + 12)/24. %F A187673 a(n) = A002419(n+1) + A050534(n+1). %F A187673 G.f.: ( -1-5*x-3*x^2 ) / (x-1)^5. - _R. J. Mathar_, Mar 29 2011 %t A187673 Accumulate[LinearRecurrence[{4,-6,4,-1},{1,9,33,82},40]] (* or *) LinearRecurrence[{5,-10,10,-5,1},{1,10,43,125,290},40] (* _Harvey P. Dale_, Feb 15 2015 *) %Y A187673 Cf. A005920. %K A187673 nonn,easy %O A187673 0,2 %A A187673 _Jonathan Vos Post_, Mar 12 2011 %E A187673 Typo in formula fixed by _Colin Barker_, Apr 19 2013