Search: id:A000313 Results 1-1 of 1 results found. %I A000313 M3633 N1477 %S A000313 1,4,30,220,1855,17304,177996,2002440,24474285,323060540,4581585866, %T A000313 69487385604,1122488536715,19242660629360,348933579412440, %U A000313 6673354706262864,134252194678935321,2834212998777523380 %N A000313 Number of permutations of length n by rises. %C A000313 a(n)=A065087(n+2)/3. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007 %D A000313 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %D A000313 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A000313 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 263. %F A000313 E.g.f.: x^3/3!*exp(-x)/(1-x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 03 2003 %p A000313 a:=n->sum((n+1)!*sum((-1)^k/k!/3!, j=1..n), k=0..n): seq(a(n), n=2..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2007 %Y A000313 Cf. A010027, A000255, A000166, A000274, A001260, A001261. %Y A000313 A diagonal in triangle A010027. %Y A000313 Sequence in context: A134093 A007905 A084976 this_sequence A082144 A137971 A052604 %Y A000313 Adjacent sequences: A000310 A000311 A000312 this_sequence A000314 A000315 A000316 %K A000313 nonn %O A000313 4,2 %A A000313 N. J. A. Sloane (njas(AT)research.att.com). %E A000313 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 03 2003 Search completed in 0.001 seconds