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%I M3159 N1279 #16 Jul 01 2022 06:50:22
%S 3,53,680,8064,96370,1200070,15778800,220047400,3257228485,
%T 51125192475,849388162448,14905775547488,275697902983860,
%U 5362979000259804,109488815508733440,2341353038132316240,52346701837709016375,1221458048752142672625,29697803502485749344120,751211166036942984639200
%N Number of permutations of length n by rises.
%D F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%F a(n) = A136123(n,3). - _Emeric Deutsch_ and _Vladeta Jovovic_, Dec 17 2007
%F Conjecture D-finite with recurrence 3*(-n+6)*a(n) +(3*n^2-23*n+67)*a(n-1) +(5*n^2-58*n+179)*a(n-2) +(n^2-51*n+128)*a(n-3) +(-17*n^2+183*n-364)*a(n-4) -4*(n-4)*(n-11)*a(n-5) +12*(n-4)*(n-5)*a(n-6)=0. - _R. J. Mathar_, Jul 01 2022
%K nonn
%O 6,1
%A _N. J. A. Sloane_
%E More terms from _Vladeta Jovovic_, Nov 21 2007
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