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 A025842 #31 Sep 05 2025 01:04:43
%S A025842 1,0,0,1,0,0,2,0,1,2,0,1,3,0,2,3,1,2,4,1,3,4,2,3,6,2,4,6,3,4,8,3,6,8,
%T A025842 4,6,10,4,8,10,6,8,12,6,10,12,8,10,15,8,12,15,10,12,18,10,15,18,12,15,
%U A025842 21,12,18,21,15,18,24,15,21
%N A025842 Expansion of 1/((1-x^3)*(1-x^6)*(1-x^8)).
%C A025842 a(n) is the number of partitions of n into parts 3, 6, and 8. - _Michel Marcus_, Jun 30 2025
%H A025842 <a href="/index/Rec#order_17">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,1,0,0,1,0,1,-1,0,-1,0,0,-1,0,0,1).
%F A025842 a(3*n) = a(3*n+8) = a(3*n+16) = A001972(A004526(n)). - _Hoang Xuan Thanh_, Jun 25 2025
%F A025842 a(n) = floor((n^2+n+124+3*n*(-1)^n)/288 + (n+6)*((n+2) mod 3)/18 + (((n+1) mod 6) - (n mod 6))/36). - _Hoang Xuan Thanh_, Sep 04 2025
%t A025842 CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^8)),{x,0,70}],x] (* _Harvey P. Dale_, Jan 25 2012 *)
%Y A025842 Cf. A001972, A004526.
%K A025842 nonn,easy,changed
%O A025842 0,7
%A A025842 _N. J. A. Sloane_