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 A001261 Number of permutations of length n with 5 consecutive ascending pairs. (Formerly M4273 N1786) 5
 0, 0, 0, 0, 0, 1, 6, 63, 616, 6678, 77868, 978978, 13216104, 190899423, 2939850914, 48106651593, 833848627248, 15265844099324, 294412707629208, 5966764207952724, 126793739418994416, 2819296088257641741, 65470320271760790078 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 REFERENCES F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 263. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..200 FORMULA E.g.f.: x^5/5!*exp(-x)/(1-x)^2. - Vladeta Jovovic, Jan 03 2003 MAPLE a:=n->sum((n+3)!*sum((-1)^k/k!/5!, j=1..n), k=0..n): seq(a(n), n=2..19); # Zerinvary Lajos, May 25 2007 MATHEMATICA Range[0, 30]! CoefficientList[Series[x^5/5!*Exp[-x]/(1 - x)^2, {x, 0, 40}], x] (* Vincenzo Librandi, Apr 13 2014 *) CROSSREFS Cf. A010027, A000255, A000166, A000274, A000313, A001260. A diagonal in triangle A010027. Sequence in context: A039937 A134112 A071588 * A252813 A210987 A234465 Adjacent sequences:  A001258 A001259 A001260 * A001262 A001263 A001264 KEYWORD nonn AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Jan 03 2003 Name clarified and offset changed by N. J. A. Sloane, Apr 12 2014 STATUS approved

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)