The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A124043 Number of permutations of n distinct letters (ABCD...) each of which appears thrice with three fixed points. 1
 1, 0, 435, 90944, 40563765, 32659846104, 43036380310735, 86514409614060000, 251739515511526387401, 1017865281673593548065520, 5534999211214597734889370091, 39411238922605740572075832485280 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..11. EXAMPLE 1 0, 0, 0, "1" 1, 0, 9, "0", 9, 0, 1 56, 216, 378, "435", 324, 189, 54", 27, 0, 1 13833, 49464, 84510, "90944", 69039, 38448, 16476, 5184, 1431, 216, 54, 0, 1 6699824, 23123880, 38358540, "40563765", 30573900, 17399178, 7723640, 2729295, 776520, 180100, 33372, 5355, 540, 90, 0, 1 etc... MAPLE p := (x, k)->k!^2*sum(x^j/((k-j)!^2*j!), j=0..k); R := (x, n, k)->p(x, k)^n; f := (t, n, k)->sum(coeff(R(x, n, k), x, j)*(t-1)^j*(n*k-j)!, j=0..n*k); for n from 0 to 6 do seq(coeff(f(t, n, 3), t, m)/3!^n, m=0..3*n); od; CROSSREFS Cf. A059058, A027468, A059073, A000459. Sequence in context: A268475 A212227 A237302 * A345554 A345808 A260366 Adjacent sequences: A124040 A124041 A124042 * A124044 A124045 A124046 KEYWORD nonn AUTHOR Zerinvary Lajos, Nov 02 2006 STATUS approved

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

Last modified June 4 13:02 EDT 2023. Contains 363128 sequences. (Running on oeis4.)