%I #26 Feb 07 2024 11:29:39
%S 2,6,32,203,1144,5345,20926,70506,209746,562727,1384758,3167606,
%T 6807620,13863904,26941700,50245591,90358146,157312324,266040452,
%U 438299013,705186944,1110395771,1714352818,2599444040,3876530866
%N Number of M-sequences m_0,...,m_4 with m_1 < n.
%D S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
%H T. D. Noe, <a href="/A011820/b011820.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F a(n) = ( 4*n^10 +61*n^9 +408*n^8 +1722*n^7 +6132*n^6 +18333*n^5 +41072*n^4 +88748*n^3 +133824*n^2 +193536*n +241920 )/120960. - _Frank Ellermann_
%F G.f.: -x*(x^10 -11*x^9 +53*x^8 -147*x^7 +268*x^6 -298*x^5 +341*x^4 -149*x^3 +76*x^2 -16*x +2) / (x-1)^11. - _Colin Barker_, Feb 15 2014
%o (PARI) a(n)=n*(4*n^9+61*n^8+408*n^7+1722*n^6+6132*n^5+18333*n^4+41072*n^3 +88748*n^2 +133824*n+193536)/120960+2 \\ _Charles R Greathouse IV_, Dec 08 2011
%Y Cf. A011819-A011825, A011828.
%K nonn,easy
%O 0,1
%A Svante Linusson (linusson(AT)math.kth.se)