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 A011819 #24 Sep 08 2022 08:44:37 %S A011819 2,5,16,52,152,392,904,1899,3694,6743,11672,19318,30772,47426,71024, %T A011819 103717,148122,207385,285248,386120,515152,678316,882488,1135535, %U A011819 1446406,1825227,2283400,2833706,3490412,4269382,5188192,6266249 %N A011819 M-sequences m_0,m_1,m_2,m_3 with m_1 < n. %D A011819 S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266. %H A011819 Vincenzo Librandi, <a href="/A011819/b011819.txt">Table of n, a(n) for n = 1..1000</a> %H A011819 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A011819 a(n)= ( 2*n^6 +15*n^5 +50*n^4 +165*n^3 +308*n^2 +540*n +720 )/360. [_Frank Ellermann_] %F A011819 G.f.: -x*(x^6-7*x^5+19*x^4-25*x^3+23*x^2-9*x+2) / (x-1)^7. - _Colin Barker_, Feb 15 2014 %t A011819 CoefficientList[Series[(x^6 - 7 x^5 + 19 x^4 -25 x^3 + 23 x^2 - 9 x + 2)/(1 - x)^7, {x, 0, 40}], x] (* _Vincenzo Librandi_, Feb 16 2014 *) %o A011819 (PARI) a(n)=n*(2*n^5+15*n^4+50*n^3+165*n^2+308*n+540)/360+2 \\ _Charles R Greathouse IV_, Dec 08 2011 %o A011819 (PARI) Vec(-x*(x^6-7*x^5+19*x^4-25*x^3+23*x^2-9*x+2)/(x-1)^7 + O(x^100)) \\ _Colin Barker_, Feb 15 2014 %o A011819 (Magma) [n*(2*n^5+15*n^4+50*n^3+165*n^2+308*n+540)/360+2: n in [0..40]]; // _Vincenzo Librandi_, Feb 16 2014 %Y A011819 Cf. A011820-A011825, A011827. %K A011819 nonn,easy %O A011819 1,1 %A A011819 Svante Linusson (linusson(AT)math.kth.se)