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 A029194 #24 Jun 13 2025 01:16:31
%S A029194 1,0,1,0,1,1,2,1,3,1,4,2,5,3,6,4,8,5,10,6,12,8,14,10,17,12,20,14,23,
%T A029194 17,27,20,31,23,35,27,40,31,45,35,51,40,57,45,63,51,70,57,78,63,86,70,
%U A029194 94,78,103,86,113,94,123,103
%N A029194 Expansion of 1/((1-x^2)*(1-x^5)*(1-x^6)*(1-x^8)).
%C A029194 a(n) is the number of partitions of n into parts 2, 5, 6, and 8. - _Joerg Arndt_, Jun 11 2025
%H A029194 Vincenzo Librandi, <a href="/A029194/b029194.txt">Table of n, a(n) for n = 0..1000</a>
%H A029194 <a href="/index/Rec#order_21">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,0,1,1,-1,0,0,-1,-1,0,0,-1,1,1,0,0,1,0,-1).
%F A029194 From _Hoang Xuan Thanh_, Jun 11 2025: (Start)
%F A029194 a(2*n) = A029032(n); a(2*n+1) = A029032(n-2) for n > 1.
%F A029194 a(n) = floor((2*n^3 + (63+15*(-1)^n)*n^2 + (597+315*(-1)^n)*n + 4330 + 1430*(-1)^n)/5760). (End)
%t A029194 CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^6) (1 - x^8)), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jun 02 2014 *)
%t A029194 LinearRecurrence[{0,1,0,0,1,1,-1,0,0,-1,-1,0,0,-1,1,1,0,0,1,0,-1},{1,0,1,0,1,1,2,1,3,1,4,2,5,3,6,4,8,5,10,6,12},100] (* _Harvey P. Dale_, May 28 2017 *)
%Y A029194 Cf. A029032.
%K A029194 nonn,easy
%O A029194 0,7
%A A029194 _N. J. A. Sloane_