login
This site is supported by donations to The OEIS Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A000544 Number of permutations of length n by rises.
(Formerly M3110 N1260)
1
3, 25, 155, 1005, 7488, 64164, 619986, 6646750, 78161249, 999473835, 13801761213, 204631472475, 3241541125110, 54629642149630, 975867376041308, 18416844056075364, 366128842105397631, 7647337600268371485, 167424323805645018159, 3833790834030516355705, 91641405910147125954428, 2282611988081527293910920 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

REFERENCES

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 264.

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

Table of n, a(n) for n=4..25.

FORMULA

G.f.: x^2*sum(k*k!*(x^2-x+k-1)*(-x*(x-1)/(x+1))^k,k=0..infinity)/((x^2-1)^2*(x-1)^2)

MATHEMATICA

max = 22; s = Sum[k*k!*(x^2-x+k-1)*(-x*(x-1)/(x+1))^k, {k, 1, max+1}]/(x- x^2-x^3+x^4)^2 + O[x]^max; CoefficientList[s, x] (* Jean-Fran├žois Alcover, Feb 09 2016 *)

CROSSREFS

Cf. A010030.

Sequence in context: A144646 A277520 A303602 * A221777 A227995 A037776

Adjacent sequences:  A000541 A000542 A000543 * A000545 A000546 A000547

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vladeta Jovovic, Nov 23 2007

Generating function from Sean A. Irvine, Nov 18 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 20:12 EST 2019. Contains 319310 sequences. (Running on oeis4.)