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 A025802 #16 Jun 18 2025 17:00:56
%S A025802 1,0,1,0,2,1,2,1,3,2,4,2,5,3,6,4,7,5,8,6,10,7,11,8,13,10,14,11,16,13,
%T A025802 18,14,20,16,22,18,24,20,26,22,29,24,31,26,34,29,36,31,39,34,42,36,45,
%U A025802 39,48,42,51,45,54,48,58,51
%N A025802 Expansion of 1/((1-x^2)*(1-x^4)*(1-x^5)).
%C A025802 a(n) is the number of partitions of n into parts 2, 4, and 5. - _Hoang Xuan Thanh_, Jun 18 2025
%H A025802 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,1,1,-1,-1,0,-1,0,1).
%F A025802 From _R. J. Mathar_, Jun 23 2021: (Start)
%F A025802 a(n)-a(n-2) = A165190(n).
%F A025802 a(n)-a(n-4) = A008616(n). (End)
%F A025802 a(n) = floor((n^2 + n*(11+5*(-1)^n) + 53 + 27*(-1)^n)/80). - _Hoang Xuan Thanh_, Jun 18 2025
%t A025802 CoefficientList[Series[1/((1-x^2)(1-x^4)(1-x^5)),{x,0,70}],x] (* _Harvey P. Dale_, Sep 15 2011 *)
%Y A025802 Cf. A000115.
%K A025802 nonn,easy
%O A025802 0,5
%A A025802 _N. J. A. Sloane_