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 A288343 #24 Oct 02 2023 14:25:19
%S A288343 1,2,4,7,12,19,30,45,67,96,136,188,258,347,463,609,795,1025,1313,1665,
%T A288343 2099,2624,3262,4026,4945,6035,7332,8859,10660,12764,15226,18083,
%U A288343 21402,25230,29647,34713,40525,47155,54719,63307,73056,84074,96524,110536,126301
%N A288343 Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*...*(1-x^8)).
%C A288343 Number of partitions of at most n into at most 8 parts.
%H A288343 Seiichi Manyama, <a href="/A288343/b288343.txt">Table of n, a(n) for n = 0..10000</a>
%H A288343 Richard J. Mathar, <a href="/A293482/a293482.pdf">Size of the Set of Residues of Integer Powers of Fixed Exponent</a>, 2017.
%H A288343 <a href="/index/Rec#order_37">Index entries for linear recurrences with constant coefficients</a>, signature (2, 0, -1, 0, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -2, 0, -1, 1, 0, 2, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 0, 1, 0, -2, 1).
%t A288343 CoefficientList[Series[1/((1-x)Times@@(1-x^Range[8])),{x,0,50}],x] (* _Harvey P. Dale_, Dec 06 2017 *)
%o A288343 (PARI) x='x+O('x^99); Vec(1/((1-x)*prod(i=1, 8, (1-x^i)))) \\ _Altug Alkan_, Mar 28 2018
%Y A288343 Number of partitions of at most n into at most k parts: A002621 (k=4), A002622 (k=5), A288341 (k=6), A288342 (k=7), this sequence (k=8), A288344 (k=9), A288345 (k=10).
%Y A288343 Cf. A288255.
%K A288343 nonn,easy
%O A288343 0,2
%A A288343 _Seiichi Manyama_, Jun 08 2017