Search: id:A001260
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%I A001260 M3999 N1657
%S A001260 1,5,45,385,3710,38934,444990,5506710,73422855,1049946755,16035550531,
%T A001260 260577696015,4489954146860,81781307674780,1570201107355980,
%U A001260 31698434854748604,671260973394676605,14879618243581997745
%N A001260 Number of permutations of length n by rises.
%D A001260 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001260 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001260 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied 
               Tables, Cambridge, 1966, p. 263.
%F A001260 (n-1)a(n)=(n+3)(a(n-1)n+a(n-2)n-a(n-1)+2a(n-2)).
%F A001260 E.g.f.: x^4/4!*exp(-x)/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Jan 03 2003
%p A001260 a:=n->sum((n+2)!*sum((-1)^k/k!/4!, j=1..n), k=0..n): seq(a(n), n=2..19); 
               - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007
%Y A001260 Cf. A010027, A000255, A000166, A000274, A000313, A001261.
%Y A001260 A diagonal in triangle A010027.
%Y A001260 Sequence in context: A081070 A043025 A125836 this_sequence A088505 A067403 
               A022022
%Y A001260 Adjacent sequences: A001257 A001258 A001259 this_sequence A001261 A001262 
               A001263
%K A001260 nonn
%O A001260 5,2
%A A001260 N. J. A. Sloane (njas(AT)research.att.com).
%E A001260 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 03 2003

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