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%I #26 Sep 08 2022 08:45:45
%S 1,16,94,331,880,1951,3811,6784,11251,17650,26476,38281,53674,73321,
%T 97945,128326,165301,209764,262666,325015,397876,482371,579679,691036,
%U 817735,961126,1122616,1303669,1505806,1730605,1979701,2254786,2557609
%N Expansion of (1+11*x+24*x^2+11*x^3+10*x^4)/(1-x)^5.
%C Source: the De Loera et al. article and the Haws website.
%C The coefficient of x^4 should be 1 rather than 10, and so this is an erroneous version of A294433. However, it remains in the OEIS in accordance with our policy of including published but erroneous sequences, to serve as pointers to the correct versions. - _N. J. A. Sloane_, Oct 30 2017
%H Vincenzo Librandi, <a href="/A160750/b160750.txt">Table of n, a(n) for n = 0..10000</a>
%H J. A. De Loera, D. C. Haws and M. Koppe, <a href="http://arxiv.org/abs/0710.4346">Ehrhart Polynomials of Matroid Polytopes and Polymatroids</a>, Discrete Comput. Geom., 42 (2009), 670-702.
%H D. C. Haws, <a href="http://www.math.ucdavis.edu/~haws/Matroids/">Matroids</a> [Broken link, Oct 30 2017]
%H D. C. Haws, <a href="https://www.math.ucdavis.edu/~mkoeppe/art/Matroids/">Matroids</a> [Copy on website of Matthias Koeppe]
%H D. C. Haws, <a href="/A160747/a160747.pdf">Matroids/a> [Cached copy, pdf file only]
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F G.f.: (1+11*x+24*x^2+11*x^3+10*x^4)/(1-x)^5.
%F a(n) = 19*n^4/8 +7*n^3/4 +77*n^2/8 +5*n/4 +1. - _R. J. Mathar_, Sep 11 2011
%F E.g.f.: (1/8)*(19*x^4 + 128*x^3 + 252*x^2 + 120*x + 1)*exp(x). - _G. C. Greubel_, Apr 26 2018
%t Table[(19*n^4 +14*n^3 +77*n^2 +10*n +1)/8, {n,0,30}] (* or *) LinearRecurrence[{5,-10,10,-5,1}, {1, 16, 94, 331, 880}, 30] (* _G. C. Greubel_, Apr 26 2018 *)
%o (Magma) [19*n^4/8+7*n^3/4+77*n^2/8+5*n/4+1: n in [0..50]]; // _Vincenzo Librandi_, Sep 18 2011
%o (PARI) x='x+O('x^30); Vec((1+11*x+24*x^2+11*x^3+10*x^4)/(1-x)^5) \\ _G. C. Greubel_, Apr 26 2018
%Y Cf. A294433.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Nov 18 2009
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