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 A176640 #17 Aug 21 2025 06:44:26
%S A176640 0,1,5,14,46,111,303,688,1712,3761,8881,19122,43698,92851,207539,
%T A176640 436916,961204,2009781,4369077,9087670,19573430,40544951,86682295,
%U A176640 178956984,380283576,782936761,1655351993,3400182458,7158278842
%N A176640 Partial sums of A005985.
%H A176640 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (3,3,-15,6,12,-8).
%F A176640 a(n) = Sum_{i=0..n} A005985(i).
%F A176640 G.f.: x*(1+2*x-4*x^2+4*x^3)/((1-x)^2*(1+x)*(1-2*x)^2*(1+2*x)). - _Colin Barker_, Jan 14 2012
%F A176640 a(n) = 3*a(n-1)+ 3*a(n-2)- 15*a(n-3)+ 6*a(n-4)+12*a(n-5)-8*a(n-6). - _Harvey P. Dale_, Jun 11 2015
%t A176640 Accumulate[LinearRecurrence[{2,5,-10,-4,8},{0,1,4,9,32},40]] (* or *) LinearRecurrence[{3,3,-15,6,12,-8},{0,1,5,14,46,111},40] (* _Harvey P. Dale_, Jun 11 2015 *)
%Y A176640 Cf. A005985.
%K A176640 nonn,easy
%O A176640 0,3
%A A176640 _Jonathan Vos Post_, Apr 22 2010