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n*(n-1)*(n-2)*(n-3)*(n-4)*(2*n-1)/72.
1

%I #9 Jun 17 2017 03:55:03

%S 0,0,0,0,0,15,110,455,1400,3570,7980,16170,30360,53625,90090,145145,

%T 225680,340340,499800,717060,1007760,1390515,1887270,2523675,3329480,

%U 4338950,5591300,7131150,9009000,11281725,14013090,17274285,21144480

%N n*(n-1)*(n-2)*(n-3)*(n-4)*(2*n-1)/72.

%D L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 73, Problem 3.

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).

%F G.f.: 5*x^5*(3+x)/(1-x)^7. [_Colin Barker_, May 09 2012]

%K nonn,easy

%O 0,6

%A _N. J. A. Sloane_, Jul 10 2000