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 A013982 #35 Jul 08 2025 02:51:36 %S A013982 1,0,1,1,2,3,4,7,10,16,24,37,57,87,134,205,315,483,741,1137,1744,2676, %T A013982 4105,6298,9662,14823,22741,34888,53524,82114,125976,193267,296502, %U A013982 454881,697859,1070626,1642509 %N A013982 Expansion of 1/(1-x^2-x^3-x^4-x^5). %C A013982 Number of compositions of n into parts p where 2 <= p < = 5. [_Joerg Arndt_, Jun 24 2013] %H A013982 Vincenzo Librandi, <a href="/A013982/b013982.txt">Table of n, a(n) for n = 0..1000</a> %H A013982 R. Mullen, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL12/Mullen/mullen2.html">On Determining Paint by Numbers Puzzles with Nonunique Solutions</a>, JIS 12 (2009) 09.6.5 %H A013982 J. D. Opdyke, <a href="http://dx.doi.org/10.1007/s10852-009-9116-2">A unified approach to algorithms generating unrestricted..</a>, J. Math. Model. Algor. 9 (2010) 53-97, Table 7 %H A013982 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,1,1). %F A013982 a(n) = a(n-5) + a(n-4) + a(n-3) + a(n-2). - _Jon E. Schoenfield_, Aug 07 2006 %t A013982 CoefficientList[Series[1/(1-x^2-x^3-x^4-x^5),{x,0,40}],x] (* or *) LinearRecurrence[{0,1,1,1,1},{1,0,1,1,2},40] (* _Harvey P. Dale_, Sep 19 2011 *) %o A013982 (PARI) Vec(1/(1-x^2-x^3-x^4-x^5)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012 %o A013982 (Magma) m:=40; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x^2-x^3-x^4-x^5))); // _Vincenzo Librandi_, Jun 24 2013 %K A013982 nonn,easy %O A013982 0,5 %A A013982 _N. J. A. Sloane_